TSTP Solution File: NUM375+1.010 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NUM375+1.010 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 13:03:39 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : Proof 3.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM375+1.010 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n019.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 : Fri Sep 2 10:02:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.43 % SZS status Unsatisfiable
% 0.19/0.43 % SZS output start Proof
% 0.19/0.43 tff(n5_type, type, (
% 0.19/0.43 n5: $i)).
% 0.19/0.43 tff(tptp_fun_Z_0_type, type, (
% 0.19/0.43 tptp_fun_Z_0: $i)).
% 0.19/0.43 tff(sum_type, type, (
% 0.19/0.43 sum: ( $i * $i ) > $i)).
% 0.19/0.43 tff(n1_type, type, (
% 0.19/0.43 n1: $i)).
% 0.19/0.43 tff(n4_type, type, (
% 0.19/0.43 n4: $i)).
% 0.19/0.43 tff(n10_type, type, (
% 0.19/0.43 n10: $i)).
% 0.19/0.43 tff(n9_type, type, (
% 0.19/0.43 n9: $i)).
% 0.19/0.43 tff(n8_type, type, (
% 0.19/0.43 n8: $i)).
% 0.19/0.43 tff(n7_type, type, (
% 0.19/0.43 n7: $i)).
% 0.19/0.43 tff(n6_type, type, (
% 0.19/0.43 n6: $i)).
% 0.19/0.43 tff(n3_type, type, (
% 0.19/0.43 n3: $i)).
% 0.19/0.43 tff(n2_type, type, (
% 0.19/0.43 n2: $i)).
% 0.19/0.43 tff(n0_type, type, (
% 0.19/0.43 n0: $i)).
% 0.19/0.43 tff(pred_type, type, (
% 0.19/0.43 pred: $i > $i)).
% 0.19/0.43 tff(tptp_fun_Y_1_type, type, (
% 0.19/0.43 tptp_fun_Y_1: $i)).
% 0.19/0.43 tff(tptp_fun_X_2_type, type, (
% 0.19/0.43 tptp_fun_X_2: $i)).
% 0.19/0.43 tff(succ_type, type, (
% 0.19/0.43 succ: $i > $i)).
% 0.19/0.43 tff(1,plain,
% 0.19/0.43 (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X!2 = n10) | (X!2 = n9) | (X!2 = n8) | (X!2 = n7) | (X!2 = n6) | (X!2 = n5) | (X!2 = n4) | (X!2 = n3) | (X!2 = n2) | (X!2 = n1) | (X!2 = n0)) & ((Y!1 = n10) | (Y!1 = n9) | (Y!1 = n8) | (Y!1 = n7) | (Y!1 = n6) | (Y!1 = n5) | (Y!1 = n4) | (Y!1 = n3) | (Y!1 = n2) | (Y!1 = n1) | (Y!1 = n0)) & (Z!0 = sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1))))) & (~(Z!0 = n0)) & (~(Z!0 = n1)) & (~(Z!0 = n2)) & (~(Z!0 = n3)) & (~(Z!0 = n4)) & (~(Z!0 = n5)) & (~(Z!0 = n6)) & (~(Z!0 = n7)) & (~(Z!0 = n8)) & (~(Z!0 = n9)) & (~(Z!0 = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)) & (~(n8 = n10)) & (~(n9 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X!2 = n10) | (X!2 = n9) | (X!2 = n7) | (X!2 = n8) | (X!2 = n6) | (X!2 = n5) | (X!2 = n4) | (X!2 = n3) | (X!2 = n2) | (X!2 = n1) | (X!2 = n0)) & ((Y!1 = n10) | (Y!1 = n9) | (Y!1 = n8) | (Y!1 = n7) | (Y!1 = n6) | (Y!1 = n5) | (Y!1 = n4) | (Y!1 = n3) | (Y!1 = n2) | (Y!1 = n1) | (Y!1 = n0)) & (Z!0 = sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1))))) & (~(Z!0 = n0)) & (~(Z!0 = n1)) & (~(Z!0 = n2)) & (~(Z!0 = n3)) & (~(Z!0 = n4)) & (~(Z!0 = n5)) & (~(Z!0 = n6)) & (~(Z!0 = n7)) & (~(Z!0 = n8)) & (~(Z!0 = n9)) & (~(Z!0 = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)) & (~(n8 = n10)) & (~(n9 = n10)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(2,plain,
% 0.19/0.44 (?[X: $i, Y: $i, Z: $i] : ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)) & (~(n8 = n10)) & (~(n9 = n10))) <=> ?[X: $i, Y: $i, Z: $i] : ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)) & (~(n8 = n10)) & (~(n9 = n10)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(3,plain,
% 0.19/0.46 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3))), (((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3)) & (succ(n3) = n4)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3)) & (succ(n3) = n4)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4))), (((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4)))), ((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4)) & (succ(n4) = n5)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4)) & (succ(n4) = n5)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5))), ((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5)))), (((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5)) & (succ(n5) = n6)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5)) & (succ(n5) = n6)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6))), (((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6)))), ((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6)) & (succ(n6) = n7)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6)) & (succ(n6) = n7)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7))), ((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7)))), (((((((((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(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7)) & (succ(n7) = n8)))), rewrite((((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(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8))), (((((((((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(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8)))), ((((((((((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(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)))), rewrite((((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(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(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(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(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(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)))), rewrite((((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(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(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(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(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) = n0)) <=> (((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) = n0)))), rewrite((((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) = n0)) <=> ((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) = n0))), ((((((((((((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) = n0)) <=> ((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) = n0)))), (((((((((((((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) = n0)) & (pred(n0) = n10)) <=> (((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) = n0)) & (pred(n0) = n10)))), rewrite((((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) = n0)) & (pred(n0) = n10)) <=> ((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) = n0) & (pred(n0) = n10))), (((((((((((((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) = n0)) & (pred(n0) = n10)) <=> ((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) = n0) & (pred(n0) = n10)))), ((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) <=> (((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) = n0) & (pred(n0) = n10)) & (pred(n1) = n0)))), rewrite((((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) = n0) & (pred(n0) = n10)) & (pred(n1) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0))), ((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0)))), (((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) & (pred(n2) = n1)) <=> (((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0)) & (pred(n2) = n1)))), rewrite((((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0)) & (pred(n2) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1))), (((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) & (pred(n2) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1)))), ((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) <=> (((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1)) & (pred(n3) = n2)))), rewrite((((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1)) & (pred(n3) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2))), ((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2)))), (((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) <=> (((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2)) & (pred(n4) = n3)))), rewrite((((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2)) & (pred(n4) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3))), (((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3)))), ((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) <=> (((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3)) & (pred(n5) = n4)))), rewrite((((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3)) & (pred(n5) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4))), ((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4)))), (((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) <=> (((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4)) & (pred(n6) = n5)))), rewrite((((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4)) & (pred(n6) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5))), (((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5)))), ((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) <=> (((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5)) & (pred(n7) = n6)))), rewrite((((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5)) & (pred(n7) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6))), ((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6)))), (((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) <=> (((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6)) & (pred(n8) = n7)))), rewrite((((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6)) & (pred(n8) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7))), (((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7)))), ((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) <=> (((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) = n0) & (pred(n0) = n10) & (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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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)) <=> ((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) = n0) & (pred(n0) = n10) & (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))), ((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) <=> ((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) = n0) & (pred(n0) = n10) & (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)))), (((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) <=> (((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) = n0) & (pred(n0) = n10) & (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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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)) <=> ((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) = n0) & (pred(n0) = n10) & (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))), (((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) <=> ((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) = n0) & (pred(n0) = n10) & (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)))), ((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (sum(n0, n0) = n0)) <=> (((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) = n0) & (pred(n0) = n10) & (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)) & (sum(n0, n0) = n0)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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)) & (sum(n0, n0) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0))), ((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (sum(n0, n0) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0)))), (((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1))), (((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1)))), ((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2))), ((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2)))), (((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3))), (((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3)))), ((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4))), ((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4)))), (((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5))), (((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5)))), ((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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))), ((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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)))), (((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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))), (((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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)))), ((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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))), ((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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)))), (((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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))), (((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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)))), ((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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))), ((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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)))), (((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(n1, n0) = n1)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1))), (((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(n1, n0) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1)))), ((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(n1, n0) = n1)) & (sum(n1, n1) = n2)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1)) & (sum(n1, n1) = n2)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1)) & (sum(n1, n1) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2))), ((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(n1, n0) = n1)) & (sum(n1, n1) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2)))), (((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3))), (((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3)))), ((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4))), ((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4)))), (((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5))), (((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5)))), ((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6))), ((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6)))), (((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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))), (((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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)))), ((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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))), ((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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)))), (((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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))), (((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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)))), ((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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))), ((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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)))), (((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = n0)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0))), (((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0)))), ((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = n0)) & (sum(n2, n0) = n2)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0)) & (sum(n2, n0) = n2)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0)) & (sum(n2, n0) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2))), ((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = n0)) & (sum(n2, n0) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2)))), (((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3))), (((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3)))), ((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4))), ((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4)))), (((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5))), (((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5)))), ((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6))), ((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6)))), (((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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))), (((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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))), ((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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))), (((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = n1)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0)) & (sum(n2, n10) = n1)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0)) & (sum(n2, n10) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = n1)) & (sum(n3, n0) = n3)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1)) & (sum(n3, n0) = n3)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1)) & (sum(n3, n0) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = n1)) & (sum(n3, n0) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = n2)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1)) & (sum(n3, n10) = n2)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1)) & (sum(n3, n10) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = n2)) & (sum(n4, n0) = n4)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2)) & (sum(n4, n0) = n4)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2)) & (sum(n4, n0) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = n2)) & (sum(n4, n0) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = n3)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2)) & (sum(n4, n10) = n3)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2)) & (sum(n4, n10) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = n3)) & (sum(n5, n0) = n5)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3)) & (sum(n5, n0) = n5)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3)) & (sum(n5, n0) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = n3)) & (sum(n5, n0) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9)))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((X = n0) | (X = n1)) | (X = n2)) <=> ((X = n2) | (X = n1) | (X = n0))), (((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) <=> (((X = n2) | (X = n1) | (X = n0)) | (X = n3)))), rewrite((((X = n2) | (X = n1) | (X = n0)) | (X = n3)) <=> ((X = n3) | (X = n2) | (X = n1) | (X = n0))), (((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) <=> ((X = n3) | (X = n2) | (X = n1) | (X = n0)))), ((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) <=> (((X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n4)))), rewrite((((X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n4)) <=> ((X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0))), ((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) <=> ((X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)))), (((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) <=> (((X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n5)))), rewrite((((X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n5)) <=> ((X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0))), (((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) <=> ((X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)))), ((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) <=> (((X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n6)))), rewrite((((X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n6)) <=> ((X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0))), ((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) <=> ((X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)))), (((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) <=> (((X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n7)))), rewrite((((X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n7)) <=> ((X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0))), (((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) <=> ((X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)))), ((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) <=> (((X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n8)))), rewrite((((X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n8)) <=> ((X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0))), ((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) <=> ((X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)))), (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) <=> (((X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n9)))), rewrite((((X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n9)) <=> ((X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0))), (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) <=> ((X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)))), ((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) <=> (((X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n10)))), rewrite((((X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n10)) <=> ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0))), ((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) <=> ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9)) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9)) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0))))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((Y = n0) | (Y = n1)) | (Y = n2)) <=> ((Y = n2) | (Y = n1) | (Y = n0))), (((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) <=> (((Y = n2) | (Y = n1) | (Y = n0)) | (Y = n3)))), rewrite((((Y = n2) | (Y = n1) | (Y = n0)) | (Y = n3)) <=> ((Y = n3) | (Y = n2) | (Y = n1) | (Y = n0))), (((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) <=> ((Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)))), ((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) <=> (((Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n4)))), rewrite((((Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n4)) <=> ((Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0))), ((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) <=> ((Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)))), (((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) <=> (((Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n5)))), rewrite((((Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n5)) <=> ((Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0))), (((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) <=> ((Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)))), ((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) <=> (((Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n6)))), rewrite((((Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n6)) <=> ((Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0))), ((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) <=> ((Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)))), (((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) <=> (((Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n7)))), rewrite((((Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n7)) <=> ((Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0))), (((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) <=> ((Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)))), ((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) <=> (((Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n8)))), rewrite((((Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n8)) <=> ((Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0))), ((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) <=> ((Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)))), (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) <=> (((Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n9)))), rewrite((((Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n9)) <=> ((Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0))), (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) <=> ((Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)))), ((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) <=> (((Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n10)))), rewrite((((Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n10)) <=> ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0))), ((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) <=> ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0))) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0))) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0))) & (~(Z = n1))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0))) & (~(Z = n1))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1))) & (~(Z = n2))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1))) & (~(Z = n2))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2))) & (~(Z = n3))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2))) & (~(Z = n3))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3))) & (~(Z = n4))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3))) & (~(Z = n4))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4))) & (~(Z = n5))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4))) & (~(Z = n5))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5))) & (~(Z = n6))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5))) & (~(Z = n6))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6))) & (~(Z = n7))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6))) & (~(Z = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7))) & (~(Z = n8))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7))) & (~(Z = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8))) & (~(Z = n9))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8))) & (~(Z = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9))) & (~(Z = n10))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9))) & (~(Z = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10))) & (~(n0 = n1))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10))) & (~(n0 = n1))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1))) & (~(n0 = n2))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1))) & (~(n0 = n2))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2))) & (~(n0 = n3))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2))) & (~(n0 = n3))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3))) & (~(n0 = n4))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3))) & (~(n0 = n4))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4))) & (~(n0 = n5))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4))) & (~(n0 = n5))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5))) & (~(n0 = n6))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5))) & (~(n0 = n6))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6))) & (~(n0 = n7))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6))) & (~(n0 = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7))) & (~(n0 = n8))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7))) & (~(n0 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8))) & (~(n0 = n9))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8))) & (~(n0 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9))) & (~(n0 = n10))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9))) & (~(n0 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10))) & (~(n1 = n2))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10))) & (~(n1 = n2))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2))) & (~(n1 = n3))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2))) & (~(n1 = n3))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3))) & (~(n1 = n4))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3))) & (~(n1 = n4))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4))) & (~(n1 = n5))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4))) & (~(n1 = n5))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5))) & (~(n1 = n6))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5))) & (~(n1 = n6))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6))) & (~(n1 = n7))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6))) & (~(n1 = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7))) & (~(n1 = n8))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7))) & (~(n1 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8))) & (~(n1 = n9))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8))) & (~(n1 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9))) & (~(n1 = n10))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9))) & (~(n1 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10))) & (~(n2 = n3))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10))) & (~(n2 = n3))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3))) & (~(n2 = n4))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3))) & (~(n2 = n4))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4))) & (~(n2 = n5))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4))) & (~(n2 = n5))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5))) & (~(n2 = n6))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5))) & (~(n2 = n6))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6))) & (~(n2 = n7))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6))) & (~(n2 = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7))) & (~(n2 = n8))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7))) & (~(n2 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8))) & (~(n2 = n9))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8))) & (~(n2 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9))) & (~(n2 = n10))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9))) & (~(n2 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10))) & (~(n3 = n4))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10))) & (~(n3 = n4))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4))) & (~(n3 = n5))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4))) & (~(n3 = n5))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5))) & (~(n3 = n6))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5))) & (~(n3 = n6))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6))) & (~(n3 = n7))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6))) & (~(n3 = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7))) & (~(n3 = n8))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7))) & (~(n3 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8))) & (~(n3 = n9))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8))) & (~(n3 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9))) & (~(n3 = n10))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9))) & (~(n3 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10))) & (~(n4 = n5))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10))) & (~(n4 = n5))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5))) & (~(n4 = n6))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5))) & (~(n4 = n6))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6))) & (~(n4 = n7))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6))) & (~(n4 = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7))) & (~(n4 = n8))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7))) & (~(n4 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8))) & (~(n4 = n9))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8))) & (~(n4 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9))) & (~(n4 = n10))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9))) & (~(n4 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10))) & (~(n5 = n6))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10))) & (~(n5 = n6))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6))) & (~(n5 = n7))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6))) & (~(n5 = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7))) & (~(n5 = n8))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7))) & (~(n5 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8))) & (~(n5 = n9))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8))) & (~(n5 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9))) & (~(n5 = n10))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9))) & (~(n5 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10))) & (~(n6 = n7))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10))) & (~(n6 = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7))) & (~(n6 = n8))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7))) & (~(n6 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8))) & (~(n6 = n9))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8))) & (~(n6 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9))) & (~(n6 = n10))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9))) & (~(n6 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n7 = n8))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10))) & (~(n7 = n8))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10))) & (~(n7 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n7 = n8))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n7 = n8))) & (~(n7 = n9))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8))) & (~(n7 = n9))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8))) & (~(n7 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n7 = n8))) & (~(n7 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9))) & (~(n7 = n10))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9))) & (~(n7 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n8 = n9))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10))) & (~(n8 = n9))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10))) & (~(n8 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n8 = n9))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n8 = n9))) & (~(n8 = n10))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9))) & (~(n8 = n10))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9))) & (~(n8 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)) & (~(n8 = n10)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n8 = n9))) & (~(n8 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)) & (~(n8 = n10))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n8 = n9))) & (~(n8 = n10))) & (~(n9 = n10))) <=> (((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)) & (~(n8 = n10))) & (~(n9 = n10))))), rewrite((((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)) & (~(n8 = n10))) & (~(n9 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)) & (~(n8 = n10)) & (~(n9 = n10)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n8 = n9))) & (~(n8 = n10))) & (~(n9 = n10))) <=> ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)) & (~(n8 = n10)) & (~(n9 = n10)))))),
% 3.17/3.34 inference(bind,[status(th)],[])).
% 3.17/3.34 tff(4,plain,
% 3.17/3.34 (?[X: $i, Y: $i, Z: $i] : ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n8 = n9))) & (~(n8 = n10))) & (~(n9 = n10))) <=> ?[X: $i, Y: $i, Z: $i] : ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)) & (~(n8 = n10)) & (~(n9 = n10)))),
% 3.17/3.35 inference(quant_intro,[status(thm)],[3])).
% 3.17/3.35 tff(5,axiom,(?[X: $i, Y: $i, Z: $i] : ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((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) = n0)) & (pred(n0) = n10)) & (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)) & (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(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) = 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) = n0)) & (sum(n2, n10) = 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) = n0)) & (sum(n3, n9) = n1)) & (sum(n3, n10) = 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) = n0)) & (sum(n4, n8) = n1)) & (sum(n4, n9) = n2)) & (sum(n4, n10) = 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) = n0)) & (sum(n5, n7) = n1)) & (sum(n5, n8) = n2)) & (sum(n5, n9) = n3)) & (sum(n5, n10) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n0)) & (sum(n6, n6) = n1)) & (sum(n6, n7) = n2)) & (sum(n6, n8) = n3)) & (sum(n6, n9) = n4)) & (sum(n6, n10) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n0)) & (sum(n7, n5) = n1)) & (sum(n7, n6) = n2)) & (sum(n7, n7) = n3)) & (sum(n7, n8) = n4)) & (sum(n7, n9) = n5)) & (sum(n7, n10) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n0)) & (sum(n8, n4) = n1)) & (sum(n8, n5) = n2)) & (sum(n8, n6) = n3)) & (sum(n8, n7) = n4)) & (sum(n8, n8) = n5)) & (sum(n8, n9) = n6)) & (sum(n8, n10) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n0)) & (sum(n9, n3) = n1)) & (sum(n9, n4) = n2)) & (sum(n9, n5) = n3)) & (sum(n9, n6) = n4)) & (sum(n9, n7) = n5)) & (sum(n9, n8) = n6)) & (sum(n9, n9) = n7)) & (sum(n9, n10) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n0)) & (sum(n10, n2) = n1)) & (sum(n10, n3) = n2)) & (sum(n10, n4) = n3)) & (sum(n10, n5) = n4)) & (sum(n10, n6) = n5)) & (sum(n10, n7) = n6)) & (sum(n10, n8) = n7)) & (sum(n10, n9) = n8)) & (sum(n10, n10) = n9)) & (((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10))) & (((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10))) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))))) & (~(Z = n0))) & (~(Z = n1))) & (~(Z = n2))) & (~(Z = n3))) & (~(Z = n4))) & (~(Z = n5))) & (~(Z = n6))) & (~(Z = n7))) & (~(Z = n8))) & (~(Z = n9))) & (~(Z = n10))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n8 = n9))) & (~(n8 = n10))) & (~(n9 = n10)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','try_satisfy_this')).
% 3.17/3.35 tff(6,plain,
% 3.17/3.35 (?[X: $i, Y: $i, Z: $i] : ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)) & (~(n8 = n10)) & (~(n9 = n10)))),
% 3.17/3.35 inference(modus_ponens,[status(thm)],[5, 4])).
% 3.17/3.35 tff(7,plain,
% 3.17/3.35 (?[X: $i, Y: $i, Z: $i] : ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (Z = sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y))))) & (~(Z = n0)) & (~(Z = n1)) & (~(Z = n2)) & (~(Z = n3)) & (~(Z = n4)) & (~(Z = n5)) & (~(Z = n6)) & (~(Z = n7)) & (~(Z = n8)) & (~(Z = n9)) & (~(Z = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)) & (~(n8 = n10)) & (~(n9 = n10)))),
% 3.17/3.36 inference(modus_ponens,[status(thm)],[6, 2])).
% 3.17/3.36 tff(8,plain,(
% 3.17/3.36 (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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X!2 = n10) | (X!2 = n9) | (X!2 = n8) | (X!2 = n7) | (X!2 = n6) | (X!2 = n5) | (X!2 = n4) | (X!2 = n3) | (X!2 = n2) | (X!2 = n1) | (X!2 = n0)) & ((Y!1 = n10) | (Y!1 = n9) | (Y!1 = n8) | (Y!1 = n7) | (Y!1 = n6) | (Y!1 = n5) | (Y!1 = n4) | (Y!1 = n3) | (Y!1 = n2) | (Y!1 = n1) | (Y!1 = n0)) & (Z!0 = sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1))))) & (~(Z!0 = n0)) & (~(Z!0 = n1)) & (~(Z!0 = n2)) & (~(Z!0 = n3)) & (~(Z!0 = n4)) & (~(Z!0 = n5)) & (~(Z!0 = n6)) & (~(Z!0 = n7)) & (~(Z!0 = n8)) & (~(Z!0 = n9)) & (~(Z!0 = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)) & (~(n8 = n10)) & (~(n9 = n10))),
% 3.17/3.36 inference(skolemize,[status(sab)],[7])).
% 3.17/3.36 tff(9,plain,
% 3.17/3.36 ((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) = n0) & (pred(n0) = n10) & (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) & (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(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) = 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) = n0) & (sum(n2, n10) = 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) = n0) & (sum(n3, n9) = n1) & (sum(n3, n10) = 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) = n0) & (sum(n4, n8) = n1) & (sum(n4, n9) = n2) & (sum(n4, n10) = 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) = n0) & (sum(n5, n7) = n1) & (sum(n5, n8) = n2) & (sum(n5, n9) = n3) & (sum(n5, n10) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n0) & (sum(n6, n6) = n1) & (sum(n6, n7) = n2) & (sum(n6, n8) = n3) & (sum(n6, n9) = n4) & (sum(n6, n10) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n0) & (sum(n7, n5) = n1) & (sum(n7, n6) = n2) & (sum(n7, n7) = n3) & (sum(n7, n8) = n4) & (sum(n7, n9) = n5) & (sum(n7, n10) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n0) & (sum(n8, n4) = n1) & (sum(n8, n5) = n2) & (sum(n8, n6) = n3) & (sum(n8, n7) = n4) & (sum(n8, n8) = n5) & (sum(n8, n9) = n6) & (sum(n8, n10) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n0) & (sum(n9, n3) = n1) & (sum(n9, n4) = n2) & (sum(n9, n5) = n3) & (sum(n9, n6) = n4) & (sum(n9, n7) = n5) & (sum(n9, n8) = n6) & (sum(n9, n9) = n7) & (sum(n9, n10) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n0) & (sum(n10, n2) = n1) & (sum(n10, n3) = n2) & (sum(n10, n4) = n3) & (sum(n10, n5) = n4) & (sum(n10, n6) = n5) & (sum(n10, n7) = n6) & (sum(n10, n8) = n7) & (sum(n10, n9) = n8) & (sum(n10, n10) = n9) & ((X!2 = n10) | (X!2 = n9) | (X!2 = n7) | (X!2 = n8) | (X!2 = n6) | (X!2 = n5) | (X!2 = n4) | (X!2 = n3) | (X!2 = n2) | (X!2 = n1) | (X!2 = n0)) & ((Y!1 = n10) | (Y!1 = n9) | (Y!1 = n8) | (Y!1 = n7) | (Y!1 = n6) | (Y!1 = n5) | (Y!1 = n4) | (Y!1 = n3) | (Y!1 = n2) | (Y!1 = n1) | (Y!1 = n0)) & (Z!0 = sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1))))) & (~(Z!0 = n0)) & (~(Z!0 = n1)) & (~(Z!0 = n2)) & (~(Z!0 = n3)) & (~(Z!0 = n4)) & (~(Z!0 = n5)) & (~(Z!0 = n6)) & (~(Z!0 = n7)) & (~(Z!0 = n8)) & (~(Z!0 = n9)) & (~(Z!0 = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n8 = n9)) & (~(n8 = n10)) & (~(n9 = n10))),
% 3.17/3.37 inference(modus_ponens,[status(thm)],[8, 1])).
% 3.17/3.37 tff(10,plain,
% 3.17/3.37 (sum(n4, n1) = n5),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(11,plain,
% 3.17/3.37 (sum(n9, n3) = n1),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(12,plain,
% 3.17/3.37 (pred(n4) = n3),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(13,plain,
% 3.17/3.37 (sum(n6, n9) = n4),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(14,plain,
% 3.17/3.37 (sum(n6, n2) = n8),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(15,plain,
% 3.17/3.37 (sum(n8, n5) = n2),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(16,plain,
% 3.17/3.37 (pred(n6) = n5),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(17,plain,
% 3.17/3.37 (sum(n9, n8) = n6),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(18,assumption,(Y!1 = n8), introduced(assumption)).
% 3.17/3.37 tff(19,plain,
% 3.17/3.37 (sum(n3, n10) = n2),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(20,plain,
% 3.17/3.37 (sum(n8, n2) = n10),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(21,plain,
% 3.17/3.37 (pred(n3) = n2),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(22,plain,
% 3.17/3.37 (sum(n6, n8) = n3),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(23,assumption,(X!2 = n6), introduced(assumption)).
% 3.17/3.37 tff(24,plain,
% 3.17/3.37 (sum(X!2, Y!1) = sum(n6, n8)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[23, 18])).
% 3.17/3.37 tff(25,plain,
% 3.17/3.37 (sum(X!2, Y!1) = n3),
% 3.17/3.37 inference(transitivity,[status(thm)],[24, 22])).
% 3.17/3.37 tff(26,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = pred(n3)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[25])).
% 3.17/3.37 tff(27,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = n2),
% 3.17/3.37 inference(transitivity,[status(thm)],[26, 21])).
% 3.17/3.37 tff(28,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n8, n2)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[18, 27])).
% 3.17/3.37 tff(29,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = n10),
% 3.17/3.37 inference(transitivity,[status(thm)],[28, 20])).
% 3.17/3.37 tff(30,plain,
% 3.17/3.37 (succ(n8) = n9),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(31,plain,
% 3.17/3.37 (succ(Y!1) = succ(n8)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[18])).
% 3.17/3.37 tff(32,plain,
% 3.17/3.37 (succ(Y!1) = n9),
% 3.17/3.37 inference(transitivity,[status(thm)],[31, 30])).
% 3.17/3.37 tff(33,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = sum(n6, n9)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[23, 32])).
% 3.17/3.37 tff(34,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = n4),
% 3.17/3.37 inference(transitivity,[status(thm)],[33, 13])).
% 3.17/3.37 tff(35,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = pred(n4)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[34])).
% 3.17/3.37 tff(36,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = n3),
% 3.17/3.37 inference(transitivity,[status(thm)],[35, 12])).
% 3.17/3.37 tff(37,plain,
% 3.17/3.37 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n3, n10)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[36, 29])).
% 3.17/3.37 tff(38,plain,
% 3.17/3.37 (Z!0 = sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1))))),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(39,plain,
% 3.17/3.37 (Z!0 = n2),
% 3.17/3.37 inference(transitivity,[status(thm)],[38, 37, 19])).
% 3.17/3.37 tff(40,plain,
% 3.17/3.37 (~(Z!0 = n2)),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(41,plain,
% 3.17/3.37 ($false),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[40, 39])).
% 3.17/3.37 tff(42,plain,((~(X!2 = n6)) | (~(Y!1 = n8))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.37 tff(43,plain,
% 3.17/3.37 (~(X!2 = n6)),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[42, 18])).
% 3.17/3.37 tff(44,plain,
% 3.17/3.37 (sum(n4, n0) = n4),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(45,plain,
% 3.17/3.37 (sum(n8, n3) = n0),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(46,plain,
% 3.17/3.37 (sum(n7, n8) = n4),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(47,assumption,(X!2 = n7), introduced(assumption)).
% 3.17/3.37 tff(48,plain,
% 3.17/3.37 (sum(n5, n2) = n7),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(49,plain,
% 3.17/3.37 (sum(n9, n4) = n2),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(50,plain,
% 3.17/3.37 (pred(n5) = n4),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(51,plain,
% 3.17/3.37 (sum(n7, n9) = n5),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(52,assumption,(Y!1 = n9), introduced(assumption)).
% 3.17/3.37 tff(53,plain,
% 3.17/3.37 (sum(X!2, Y!1) = sum(n7, n9)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[47, 52])).
% 3.17/3.37 tff(54,plain,
% 3.17/3.37 (sum(X!2, Y!1) = n5),
% 3.17/3.37 inference(transitivity,[status(thm)],[53, 51])).
% 3.17/3.37 tff(55,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = pred(n5)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[54])).
% 3.17/3.37 tff(56,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = n4),
% 3.17/3.37 inference(transitivity,[status(thm)],[55, 50])).
% 3.17/3.37 tff(57,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n9, n4)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[52, 56])).
% 3.17/3.37 tff(58,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = n2),
% 3.17/3.37 inference(transitivity,[status(thm)],[57, 49])).
% 3.17/3.37 tff(59,plain,
% 3.17/3.37 (sum(n7, n10) = n6),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(60,plain,
% 3.17/3.37 (succ(n9) = n10),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(61,plain,
% 3.17/3.37 (succ(Y!1) = succ(n9)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[52])).
% 3.17/3.37 tff(62,plain,
% 3.17/3.37 (succ(Y!1) = n10),
% 3.17/3.37 inference(transitivity,[status(thm)],[61, 60])).
% 3.17/3.37 tff(63,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = sum(n7, n10)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[47, 62])).
% 3.17/3.37 tff(64,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = n6),
% 3.17/3.37 inference(transitivity,[status(thm)],[63, 59])).
% 3.17/3.37 tff(65,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = pred(n6)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[64])).
% 3.17/3.37 tff(66,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = n5),
% 3.17/3.37 inference(transitivity,[status(thm)],[65, 16])).
% 3.17/3.37 tff(67,plain,
% 3.17/3.37 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n5, n2)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[66, 58])).
% 3.17/3.37 tff(68,plain,
% 3.17/3.37 (Z!0 = n7),
% 3.17/3.37 inference(transitivity,[status(thm)],[38, 67, 48])).
% 3.17/3.37 tff(69,plain,
% 3.17/3.37 (~(Z!0 = n7)),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(70,plain,
% 3.17/3.37 ($false),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[69, 68])).
% 3.17/3.37 tff(71,plain,((~(Y!1 = n9)) | (~(X!2 = n7))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.37 tff(72,plain,
% 3.17/3.37 (~(Y!1 = n9)),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[71, 47])).
% 3.17/3.37 tff(73,plain,
% 3.17/3.37 (sum(n3, n9) = n1),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(74,plain,
% 3.17/3.37 (sum(n7, n2) = n9),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(75,plain,
% 3.17/3.37 (sum(n7, n7) = n3),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(76,assumption,(Y!1 = n7), introduced(assumption)).
% 3.17/3.37 tff(77,plain,
% 3.17/3.37 (sum(n2, n8) = n10),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(78,plain,
% 3.17/3.37 (sum(n7, n1) = n8),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(79,plain,
% 3.17/3.37 (pred(n2) = n1),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(80,plain,
% 3.17/3.37 (sum(n6, n7) = n2),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(81,plain,
% 3.17/3.37 (sum(X!2, Y!1) = sum(n6, n7)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[23, 76])).
% 3.17/3.37 tff(82,plain,
% 3.17/3.37 (sum(X!2, Y!1) = n2),
% 3.17/3.37 inference(transitivity,[status(thm)],[81, 80])).
% 3.17/3.37 tff(83,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = pred(n2)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[82])).
% 3.17/3.37 tff(84,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = n1),
% 3.17/3.37 inference(transitivity,[status(thm)],[83, 79])).
% 3.17/3.37 tff(85,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n7, n1)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[76, 84])).
% 3.17/3.37 tff(86,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = n8),
% 3.17/3.37 inference(transitivity,[status(thm)],[85, 78])).
% 3.17/3.37 tff(87,plain,
% 3.17/3.37 (succ(n7) = n8),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(88,plain,
% 3.17/3.37 (succ(Y!1) = succ(n7)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[76])).
% 3.17/3.37 tff(89,plain,
% 3.17/3.37 (succ(Y!1) = n8),
% 3.17/3.37 inference(transitivity,[status(thm)],[88, 87])).
% 3.17/3.37 tff(90,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = sum(n6, n8)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[23, 89])).
% 3.17/3.37 tff(91,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = n3),
% 3.17/3.37 inference(transitivity,[status(thm)],[90, 22])).
% 3.17/3.37 tff(92,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = pred(n3)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[91])).
% 3.17/3.37 tff(93,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = n2),
% 3.17/3.37 inference(transitivity,[status(thm)],[92, 21])).
% 3.17/3.37 tff(94,plain,
% 3.17/3.37 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n2, n8)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[93, 86])).
% 3.17/3.37 tff(95,plain,
% 3.17/3.37 (Z!0 = n10),
% 3.17/3.37 inference(transitivity,[status(thm)],[38, 94, 77])).
% 3.17/3.37 tff(96,plain,
% 3.17/3.37 (~(Z!0 = n10)),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(97,plain,
% 3.17/3.37 ($false),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[96, 95])).
% 3.17/3.37 tff(98,plain,((~(X!2 = n6)) | (~(Y!1 = n7))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.37 tff(99,plain,
% 3.17/3.37 (~(X!2 = n6)),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[98, 76])).
% 3.17/3.37 tff(100,plain,
% 3.17/3.37 (sum(n5, n0) = n5),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(101,plain,
% 3.17/3.37 (sum(n7, n4) = n0),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(102,plain,
% 3.17/3.37 (sum(n9, n7) = n5),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(103,assumption,(X!2 = n9), introduced(assumption)).
% 3.17/3.37 tff(104,plain,
% 3.17/3.37 (sum(X!2, Y!1) = sum(n9, n7)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[103, 76])).
% 3.17/3.37 tff(105,plain,
% 3.17/3.37 (sum(X!2, Y!1) = n5),
% 3.17/3.37 inference(transitivity,[status(thm)],[104, 102])).
% 3.17/3.37 tff(106,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = pred(n5)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[105])).
% 3.17/3.37 tff(107,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = n4),
% 3.17/3.37 inference(transitivity,[status(thm)],[106, 50])).
% 3.17/3.37 tff(108,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n7, n4)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[76, 107])).
% 3.17/3.37 tff(109,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = n0),
% 3.17/3.37 inference(transitivity,[status(thm)],[108, 101])).
% 3.17/3.37 tff(110,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = sum(n9, n8)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[103, 89])).
% 3.17/3.37 tff(111,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = n6),
% 3.17/3.37 inference(transitivity,[status(thm)],[110, 17])).
% 3.17/3.37 tff(112,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = pred(n6)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[111])).
% 3.17/3.37 tff(113,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = n5),
% 3.17/3.37 inference(transitivity,[status(thm)],[112, 16])).
% 3.17/3.37 tff(114,plain,
% 3.17/3.37 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n5, n0)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[113, 109])).
% 3.17/3.37 tff(115,plain,
% 3.17/3.37 (Z!0 = n5),
% 3.17/3.37 inference(transitivity,[status(thm)],[38, 114, 100])).
% 3.17/3.37 tff(116,plain,
% 3.17/3.37 (~(Z!0 = n5)),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(117,plain,
% 3.17/3.37 ($false),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[116, 115])).
% 3.17/3.37 tff(118,plain,((~(X!2 = n9)) | (~(Y!1 = n7))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.37 tff(119,plain,
% 3.17/3.37 (~(X!2 = n9)),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[118, 76])).
% 3.17/3.37 tff(120,plain,
% 3.17/3.37 (sum(n4, n10) = n3),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(121,plain,
% 3.17/3.37 (sum(n7, n3) = n10),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(122,plain,
% 3.17/3.37 (sum(n8, n7) = n4),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(123,assumption,(X!2 = n8), introduced(assumption)).
% 3.17/3.37 tff(124,plain,
% 3.17/3.37 (sum(n6, n3) = n9),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(125,plain,
% 3.17/3.37 (sum(n9, n5) = n3),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(126,plain,
% 3.17/3.37 (sum(n8, n9) = n6),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(127,plain,
% 3.17/3.37 (sum(X!2, Y!1) = sum(n8, n9)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[123, 52])).
% 3.17/3.37 tff(128,plain,
% 3.17/3.37 (sum(X!2, Y!1) = n6),
% 3.17/3.37 inference(transitivity,[status(thm)],[127, 126])).
% 3.17/3.37 tff(129,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = pred(n6)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[128])).
% 3.17/3.37 tff(130,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = n5),
% 3.17/3.37 inference(transitivity,[status(thm)],[129, 16])).
% 3.17/3.37 tff(131,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n9, n5)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[52, 130])).
% 3.17/3.37 tff(132,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = n3),
% 3.17/3.37 inference(transitivity,[status(thm)],[131, 125])).
% 3.17/3.37 tff(133,plain,
% 3.17/3.37 (pred(n7) = n6),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(134,plain,
% 3.17/3.37 (sum(n8, n10) = n7),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(135,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = sum(n8, n10)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[123, 62])).
% 3.17/3.37 tff(136,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = n7),
% 3.17/3.37 inference(transitivity,[status(thm)],[135, 134])).
% 3.17/3.37 tff(137,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = pred(n7)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[136])).
% 3.17/3.37 tff(138,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = n6),
% 3.17/3.37 inference(transitivity,[status(thm)],[137, 133])).
% 3.17/3.37 tff(139,plain,
% 3.17/3.37 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n6, n3)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[138, 132])).
% 3.17/3.37 tff(140,plain,
% 3.17/3.37 (Z!0 = n9),
% 3.17/3.37 inference(transitivity,[status(thm)],[38, 139, 124])).
% 3.17/3.37 tff(141,plain,
% 3.17/3.37 (~(Z!0 = n9)),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(142,plain,
% 3.17/3.37 ($false),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[141, 140])).
% 3.17/3.37 tff(143,plain,((~(Y!1 = n9)) | (~(X!2 = n8))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.37 tff(144,plain,
% 3.17/3.37 (~(Y!1 = n9)),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[143, 123])).
% 3.17/3.37 tff(145,plain,
% 3.17/3.37 (sum(n5, n1) = n6),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(146,plain,
% 3.17/3.37 (sum(n8, n4) = n1),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(147,plain,
% 3.17/3.37 (sum(n8, n8) = n5),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(148,plain,
% 3.17/3.37 (sum(X!2, Y!1) = sum(n8, n8)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[123, 18])).
% 3.17/3.37 tff(149,plain,
% 3.17/3.37 (sum(X!2, Y!1) = n5),
% 3.17/3.37 inference(transitivity,[status(thm)],[148, 147])).
% 3.17/3.37 tff(150,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = pred(n5)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[149])).
% 3.17/3.37 tff(151,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = n4),
% 3.17/3.37 inference(transitivity,[status(thm)],[150, 50])).
% 3.17/3.37 tff(152,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n8, n4)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[18, 151])).
% 3.17/3.37 tff(153,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = n1),
% 3.17/3.37 inference(transitivity,[status(thm)],[152, 146])).
% 3.17/3.37 tff(154,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = sum(n8, n9)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[123, 32])).
% 3.17/3.37 tff(155,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = n6),
% 3.17/3.37 inference(transitivity,[status(thm)],[154, 126])).
% 3.17/3.37 tff(156,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = pred(n6)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[155])).
% 3.17/3.37 tff(157,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = n5),
% 3.17/3.37 inference(transitivity,[status(thm)],[156, 16])).
% 3.17/3.37 tff(158,plain,
% 3.17/3.37 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n5, n1)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[157, 153])).
% 3.17/3.37 tff(159,plain,
% 3.17/3.37 (Z!0 = n6),
% 3.17/3.37 inference(transitivity,[status(thm)],[38, 158, 145])).
% 3.17/3.37 tff(160,plain,
% 3.17/3.37 (~(Z!0 = n6)),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(161,plain,
% 3.17/3.37 ($false),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[160, 159])).
% 3.17/3.37 tff(162,plain,((~(Y!1 = n8)) | (~(X!2 = n8))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.37 tff(163,plain,
% 3.17/3.37 (~(Y!1 = n8)),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[162, 123])).
% 3.17/3.37 tff(164,plain,
% 3.17/3.37 (sum(n0, n7) = n7),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(165,plain,
% 3.17/3.37 (pred(n8) = n7),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(166,plain,
% 3.17/3.37 (sum(n8, n0) = n8),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(167,assumption,(Y!1 = n0), introduced(assumption)).
% 3.17/3.37 tff(168,plain,
% 3.17/3.37 (sum(n0, n8) = n8),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(169,plain,
% 3.17/3.37 (pred(n9) = n8),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(170,plain,
% 3.17/3.37 (sum(n9, n0) = n9),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(171,plain,
% 3.17/3.37 (sum(X!2, Y!1) = sum(n9, n0)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[103, 167])).
% 3.17/3.37 tff(172,plain,
% 3.17/3.37 (sum(X!2, Y!1) = n9),
% 3.17/3.37 inference(transitivity,[status(thm)],[171, 170])).
% 3.17/3.37 tff(173,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = pred(n9)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[172])).
% 3.17/3.37 tff(174,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = n8),
% 3.17/3.37 inference(transitivity,[status(thm)],[173, 169])).
% 3.17/3.37 tff(175,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n0, n8)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[167, 174])).
% 3.17/3.37 tff(176,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = n8),
% 3.17/3.37 inference(transitivity,[status(thm)],[175, 168])).
% 3.17/3.37 tff(177,plain,
% 3.17/3.37 (pred(n10) = n9),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(178,plain,
% 3.17/3.37 (sum(n9, n1) = n10),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(179,plain,
% 3.17/3.37 (succ(n0) = n1),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(180,plain,
% 3.17/3.37 (succ(Y!1) = succ(n0)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[167])).
% 3.17/3.37 tff(181,plain,
% 3.17/3.37 (succ(Y!1) = n1),
% 3.17/3.37 inference(transitivity,[status(thm)],[180, 179])).
% 3.17/3.37 tff(182,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = sum(n9, n1)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[103, 181])).
% 3.17/3.37 tff(183,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = n10),
% 3.17/3.37 inference(transitivity,[status(thm)],[182, 178])).
% 3.17/3.37 tff(184,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = pred(n10)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[183])).
% 3.17/3.37 tff(185,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = n9),
% 3.17/3.37 inference(transitivity,[status(thm)],[184, 177])).
% 3.17/3.37 tff(186,plain,
% 3.17/3.37 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n9, n8)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[185, 176])).
% 3.17/3.37 tff(187,plain,
% 3.17/3.37 (Z!0 = n6),
% 3.17/3.37 inference(transitivity,[status(thm)],[38, 186, 17])).
% 3.17/3.37 tff(188,plain,
% 3.17/3.37 ($false),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[160, 187])).
% 3.17/3.37 tff(189,plain,((~(X!2 = n9)) | (~(Y!1 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.37 tff(190,plain,
% 3.17/3.37 (~(X!2 = n9)),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[189, 167])).
% 3.17/3.37 tff(191,plain,
% 3.17/3.37 (sum(n6, n5) = n0),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(192,plain,
% 3.17/3.37 (sum(n0, n5) = n5),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(193,plain,
% 3.17/3.37 (sum(n6, n0) = n6),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(194,plain,
% 3.17/3.37 (sum(X!2, Y!1) = sum(n6, n0)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[23, 167])).
% 3.17/3.37 tff(195,plain,
% 3.17/3.37 (sum(X!2, Y!1) = n6),
% 3.17/3.37 inference(transitivity,[status(thm)],[194, 193])).
% 3.17/3.37 tff(196,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = pred(n6)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[195])).
% 3.17/3.37 tff(197,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = n5),
% 3.17/3.37 inference(transitivity,[status(thm)],[196, 16])).
% 3.17/3.37 tff(198,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n0, n5)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[167, 197])).
% 3.17/3.37 tff(199,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = n5),
% 3.17/3.37 inference(transitivity,[status(thm)],[198, 192])).
% 3.17/3.37 tff(200,plain,
% 3.17/3.37 (sum(n6, n1) = n7),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(201,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = sum(n6, n1)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[23, 181])).
% 3.17/3.37 tff(202,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = n7),
% 3.17/3.37 inference(transitivity,[status(thm)],[201, 200])).
% 3.17/3.37 tff(203,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = pred(n7)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[202])).
% 3.17/3.37 tff(204,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = n6),
% 3.17/3.37 inference(transitivity,[status(thm)],[203, 133])).
% 3.17/3.37 tff(205,plain,
% 3.17/3.37 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n6, n5)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[204, 199])).
% 3.17/3.37 tff(206,plain,
% 3.17/3.37 (Z!0 = n0),
% 3.17/3.37 inference(transitivity,[status(thm)],[38, 205, 191])).
% 3.17/3.37 tff(207,plain,
% 3.17/3.37 (~(Z!0 = n0)),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(208,plain,
% 3.17/3.37 ($false),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[207, 206])).
% 3.17/3.37 tff(209,plain,((~(Y!1 = n0)) | (~(X!2 = n6))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.37 tff(210,plain,
% 3.17/3.37 (~(X!2 = n6)),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[209, 167])).
% 3.17/3.37 tff(211,plain,
% 3.17/3.37 (sum(n7, n6) = n2),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(212,plain,
% 3.17/3.37 (sum(n0, n6) = n6),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(213,plain,
% 3.17/3.37 (sum(n7, n0) = n7),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(214,plain,
% 3.17/3.37 (sum(X!2, Y!1) = sum(n7, n0)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[47, 167])).
% 3.17/3.37 tff(215,plain,
% 3.17/3.37 (sum(X!2, Y!1) = n7),
% 3.17/3.37 inference(transitivity,[status(thm)],[214, 213])).
% 3.17/3.37 tff(216,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = pred(n7)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[215])).
% 3.17/3.37 tff(217,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = n6),
% 3.17/3.37 inference(transitivity,[status(thm)],[216, 133])).
% 3.17/3.37 tff(218,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n0, n6)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[167, 217])).
% 3.17/3.37 tff(219,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = n6),
% 3.17/3.37 inference(transitivity,[status(thm)],[218, 212])).
% 3.17/3.37 tff(220,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = sum(n7, n1)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[47, 181])).
% 3.17/3.37 tff(221,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = n8),
% 3.17/3.37 inference(transitivity,[status(thm)],[220, 78])).
% 3.17/3.37 tff(222,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = pred(n8)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[221])).
% 3.17/3.37 tff(223,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = n7),
% 3.17/3.37 inference(transitivity,[status(thm)],[222, 165])).
% 3.17/3.37 tff(224,plain,
% 3.17/3.37 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n7, n6)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[223, 219])).
% 3.17/3.37 tff(225,plain,
% 3.17/3.37 (Z!0 = n2),
% 3.17/3.37 inference(transitivity,[status(thm)],[38, 224, 211])).
% 3.17/3.37 tff(226,plain,
% 3.17/3.37 ($false),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[40, 225])).
% 3.17/3.37 tff(227,plain,((~(X!2 = n7)) | (~(Y!1 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.37 tff(228,plain,
% 3.17/3.37 (~(X!2 = n7)),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[227, 167])).
% 3.17/3.37 tff(229,plain,
% 3.17/3.37 (sum(n10, n9) = n8),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(230,plain,
% 3.17/3.37 (sum(n0, n9) = n9),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(231,plain,
% 3.17/3.37 (sum(n10, n0) = n10),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(232,assumption,(X!2 = n10), introduced(assumption)).
% 3.17/3.37 tff(233,plain,
% 3.17/3.37 (sum(n8, n6) = n3),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(234,plain,
% 3.17/3.37 (sum(n10, n8) = n7),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(235,plain,
% 3.17/3.37 (sum(X!2, Y!1) = sum(n10, n8)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[232, 18])).
% 3.17/3.37 tff(236,plain,
% 3.17/3.37 (sum(X!2, Y!1) = n7),
% 3.17/3.37 inference(transitivity,[status(thm)],[235, 234])).
% 3.17/3.37 tff(237,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = pred(n7)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[236])).
% 3.17/3.37 tff(238,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = n6),
% 3.17/3.37 inference(transitivity,[status(thm)],[237, 133])).
% 3.17/3.37 tff(239,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n8, n6)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[18, 238])).
% 3.17/3.37 tff(240,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = n3),
% 3.17/3.37 inference(transitivity,[status(thm)],[239, 233])).
% 3.17/3.37 tff(241,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = sum(n10, n9)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[232, 32])).
% 3.17/3.37 tff(242,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = n8),
% 3.17/3.37 inference(transitivity,[status(thm)],[241, 229])).
% 3.17/3.37 tff(243,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = pred(n8)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[242])).
% 3.17/3.37 tff(244,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = n7),
% 3.17/3.37 inference(transitivity,[status(thm)],[243, 165])).
% 3.17/3.37 tff(245,plain,
% 3.17/3.37 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n7, n3)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[244, 240])).
% 3.17/3.37 tff(246,plain,
% 3.17/3.37 (Z!0 = n10),
% 3.17/3.37 inference(transitivity,[status(thm)],[38, 245, 121])).
% 3.17/3.37 tff(247,plain,
% 3.17/3.37 ($false),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[96, 246])).
% 3.17/3.37 tff(248,plain,((~(Y!1 = n8)) | (~(X!2 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.37 tff(249,plain,
% 3.17/3.37 (~(Y!1 = n8)),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[248, 232])).
% 3.17/3.37 tff(250,plain,
% 3.17/3.37 (sum(X!2, Y!1) = sum(n10, n9)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[232, 52])).
% 3.17/3.37 tff(251,plain,
% 3.17/3.37 (sum(X!2, Y!1) = n8),
% 3.17/3.37 inference(transitivity,[status(thm)],[250, 229])).
% 3.17/3.37 tff(252,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = pred(n8)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[251])).
% 3.17/3.37 tff(253,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = n7),
% 3.17/3.37 inference(transitivity,[status(thm)],[252, 165])).
% 3.17/3.37 tff(254,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n9, n7)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[52, 253])).
% 3.17/3.37 tff(255,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = n5),
% 3.17/3.37 inference(transitivity,[status(thm)],[254, 102])).
% 3.17/3.37 tff(256,plain,
% 3.17/3.37 (sum(n10, n10) = n9),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(257,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = sum(n10, n10)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[232, 62])).
% 3.17/3.37 tff(258,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = n9),
% 3.17/3.37 inference(transitivity,[status(thm)],[257, 256])).
% 3.17/3.37 tff(259,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = pred(n9)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[258])).
% 3.17/3.37 tff(260,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = n8),
% 3.17/3.37 inference(transitivity,[status(thm)],[259, 169])).
% 3.17/3.37 tff(261,plain,
% 3.17/3.37 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n8, n5)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[260, 255])).
% 3.17/3.37 tff(262,plain,
% 3.17/3.37 (Z!0 = n2),
% 3.17/3.37 inference(transitivity,[status(thm)],[38, 261, 15])).
% 3.17/3.37 tff(263,plain,
% 3.17/3.37 ($false),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[40, 262])).
% 3.17/3.37 tff(264,plain,((~(Y!1 = n9)) | (~(X!2 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.37 tff(265,plain,
% 3.17/3.37 (~(Y!1 = n9)),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[264, 232])).
% 3.17/3.37 tff(266,plain,
% 3.17/3.37 (sum(n7, n5) = n1),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(267,plain,
% 3.17/3.37 (sum(n10, n7) = n6),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(268,plain,
% 3.17/3.37 (sum(X!2, Y!1) = sum(n10, n7)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[232, 76])).
% 3.17/3.37 tff(269,plain,
% 3.17/3.37 (sum(X!2, Y!1) = n6),
% 3.17/3.37 inference(transitivity,[status(thm)],[268, 267])).
% 3.17/3.37 tff(270,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = pred(n6)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[269])).
% 3.17/3.37 tff(271,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = n5),
% 3.17/3.37 inference(transitivity,[status(thm)],[270, 16])).
% 3.17/3.37 tff(272,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n7, n5)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[76, 271])).
% 3.17/3.37 tff(273,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = n1),
% 3.17/3.37 inference(transitivity,[status(thm)],[272, 266])).
% 3.17/3.37 tff(274,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = sum(n10, n8)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[232, 89])).
% 3.17/3.37 tff(275,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = n7),
% 3.17/3.37 inference(transitivity,[status(thm)],[274, 234])).
% 3.17/3.37 tff(276,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = pred(n7)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[275])).
% 3.17/3.37 tff(277,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = n6),
% 3.17/3.37 inference(transitivity,[status(thm)],[276, 133])).
% 3.17/3.37 tff(278,plain,
% 3.17/3.37 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n6, n1)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[277, 273])).
% 3.17/3.37 tff(279,plain,
% 3.17/3.37 (Z!0 = n7),
% 3.17/3.37 inference(transitivity,[status(thm)],[38, 278, 200])).
% 3.17/3.37 tff(280,plain,
% 3.17/3.37 ($false),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[69, 279])).
% 3.17/3.37 tff(281,plain,((~(Y!1 = n7)) | (~(X!2 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.37 tff(282,plain,
% 3.17/3.37 (~(Y!1 = n7)),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[281, 232])).
% 3.17/3.37 tff(283,plain,
% 3.17/3.37 (sum(n1, n6) = n7),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(284,plain,
% 3.17/3.37 (pred(n1) = n0),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(285,plain,
% 3.17/3.37 (sum(n6, n6) = n1),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(286,assumption,(Y!1 = n6), introduced(assumption)).
% 3.17/3.37 tff(287,plain,
% 3.17/3.37 (sum(n2, n7) = n9),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(288,plain,
% 3.17/3.37 (sum(X!2, Y!1) = sum(n7, n6)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[47, 286])).
% 3.17/3.37 tff(289,plain,
% 3.17/3.37 (sum(X!2, Y!1) = n2),
% 3.17/3.37 inference(transitivity,[status(thm)],[288, 211])).
% 3.17/3.37 tff(290,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = pred(n2)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[289])).
% 3.17/3.37 tff(291,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = n1),
% 3.17/3.37 inference(transitivity,[status(thm)],[290, 79])).
% 3.17/3.37 tff(292,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n6, n1)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[286, 291])).
% 3.17/3.37 tff(293,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = n7),
% 3.17/3.37 inference(transitivity,[status(thm)],[292, 200])).
% 3.17/3.37 tff(294,plain,
% 3.17/3.37 (succ(n6) = n7),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(295,plain,
% 3.17/3.37 (succ(Y!1) = succ(n6)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[286])).
% 3.17/3.37 tff(296,plain,
% 3.17/3.37 (succ(Y!1) = n7),
% 3.17/3.37 inference(transitivity,[status(thm)],[295, 294])).
% 3.17/3.37 tff(297,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = sum(n7, n7)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[47, 296])).
% 3.17/3.37 tff(298,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = n3),
% 3.17/3.37 inference(transitivity,[status(thm)],[297, 75])).
% 3.17/3.37 tff(299,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = pred(n3)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[298])).
% 3.17/3.37 tff(300,plain,
% 3.17/3.37 (pred(sum(X!2, succ(Y!1))) = n2),
% 3.17/3.37 inference(transitivity,[status(thm)],[299, 21])).
% 3.17/3.37 tff(301,plain,
% 3.17/3.37 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n2, n7)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[300, 293])).
% 3.17/3.37 tff(302,plain,
% 3.17/3.37 (Z!0 = n9),
% 3.17/3.37 inference(transitivity,[status(thm)],[38, 301, 287])).
% 3.17/3.37 tff(303,plain,
% 3.17/3.37 ($false),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[141, 302])).
% 3.17/3.37 tff(304,plain,((~(X!2 = n7)) | (~(Y!1 = n6))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.37 tff(305,plain,
% 3.17/3.37 (~(X!2 = n7)),
% 3.17/3.37 inference(unit_resolution,[status(thm)],[304, 286])).
% 3.17/3.37 tff(306,plain,
% 3.17/3.37 (sum(n4, n9) = n2),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(307,plain,
% 3.17/3.37 (sum(n9, n6) = n4),
% 3.17/3.37 inference(and_elim,[status(thm)],[9])).
% 3.17/3.37 tff(308,plain,
% 3.17/3.37 (sum(X!2, Y!1) = sum(n9, n6)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[103, 286])).
% 3.17/3.37 tff(309,plain,
% 3.17/3.37 (sum(X!2, Y!1) = n4),
% 3.17/3.37 inference(transitivity,[status(thm)],[308, 307])).
% 3.17/3.37 tff(310,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = pred(n4)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[309])).
% 3.17/3.37 tff(311,plain,
% 3.17/3.37 (pred(sum(X!2, Y!1)) = n3),
% 3.17/3.37 inference(transitivity,[status(thm)],[310, 12])).
% 3.17/3.37 tff(312,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n6, n3)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[286, 311])).
% 3.17/3.37 tff(313,plain,
% 3.17/3.37 (sum(Y!1, pred(sum(X!2, Y!1))) = n9),
% 3.17/3.37 inference(transitivity,[status(thm)],[312, 124])).
% 3.17/3.37 tff(314,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = sum(n9, n7)),
% 3.17/3.37 inference(monotonicity,[status(thm)],[103, 296])).
% 3.17/3.37 tff(315,plain,
% 3.17/3.37 (sum(X!2, succ(Y!1)) = n5),
% 3.17/3.37 inference(transitivity,[status(thm)],[314, 102])).
% 3.17/3.38 tff(316,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n5)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[315])).
% 3.17/3.38 tff(317,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n4),
% 3.17/3.38 inference(transitivity,[status(thm)],[316, 50])).
% 3.17/3.38 tff(318,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n4, n9)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[317, 313])).
% 3.17/3.38 tff(319,plain,
% 3.17/3.38 (Z!0 = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 318, 306])).
% 3.17/3.38 tff(320,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[40, 319])).
% 3.17/3.38 tff(321,plain,((~(X!2 = n9)) | (~(Y!1 = n6))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(322,plain,
% 3.17/3.38 (~(X!2 = n9)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[321, 286])).
% 3.17/3.38 tff(323,plain,
% 3.17/3.38 (sum(n5, n10) = n4),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(324,plain,
% 3.17/3.38 (sum(n6, n4) = n10),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(325,plain,
% 3.17/3.38 (sum(n10, n6) = n5),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(326,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n10, n6)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[232, 286])).
% 3.17/3.38 tff(327,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n5),
% 3.17/3.38 inference(transitivity,[status(thm)],[326, 325])).
% 3.17/3.38 tff(328,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n5)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[327])).
% 3.17/3.38 tff(329,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n4),
% 3.17/3.38 inference(transitivity,[status(thm)],[328, 50])).
% 3.17/3.38 tff(330,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n6, n4)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[286, 329])).
% 3.17/3.38 tff(331,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n10),
% 3.17/3.38 inference(transitivity,[status(thm)],[330, 324])).
% 3.17/3.38 tff(332,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n10, n7)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[232, 296])).
% 3.17/3.38 tff(333,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n6),
% 3.17/3.38 inference(transitivity,[status(thm)],[332, 267])).
% 3.17/3.38 tff(334,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n6)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[333])).
% 3.17/3.38 tff(335,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n5),
% 3.17/3.38 inference(transitivity,[status(thm)],[334, 16])).
% 3.17/3.38 tff(336,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n5, n10)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[335, 331])).
% 3.17/3.38 tff(337,plain,
% 3.17/3.38 (Z!0 = n4),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 336, 323])).
% 3.17/3.38 tff(338,plain,
% 3.17/3.38 (~(Z!0 = n4)),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(339,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[338, 337])).
% 3.17/3.38 tff(340,plain,((~(X!2 = n10)) | (~(Y!1 = n6))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(341,plain,
% 3.17/3.38 (~(X!2 = n10)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[340, 286])).
% 3.17/3.38 tff(342,plain,
% 3.17/3.38 (sum(n3, n8) = n0),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(343,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n8, n6)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[123, 286])).
% 3.17/3.38 tff(344,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n3),
% 3.17/3.38 inference(transitivity,[status(thm)],[343, 233])).
% 3.17/3.38 tff(345,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n3)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[344])).
% 3.17/3.38 tff(346,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[345, 21])).
% 3.17/3.38 tff(347,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n6, n2)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[286, 346])).
% 3.17/3.38 tff(348,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n8),
% 3.17/3.38 inference(transitivity,[status(thm)],[347, 14])).
% 3.17/3.38 tff(349,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n8, n7)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[123, 296])).
% 3.17/3.38 tff(350,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n4),
% 3.17/3.38 inference(transitivity,[status(thm)],[349, 122])).
% 3.17/3.38 tff(351,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n4)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[350])).
% 3.17/3.38 tff(352,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n3),
% 3.17/3.38 inference(transitivity,[status(thm)],[351, 12])).
% 3.17/3.38 tff(353,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n3, n8)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[352, 348])).
% 3.17/3.38 tff(354,plain,
% 3.17/3.38 (Z!0 = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 353, 342])).
% 3.17/3.38 tff(355,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[207, 354])).
% 3.17/3.38 tff(356,plain,((~(X!2 = n8)) | (~(Y!1 = n6))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(357,plain,
% 3.17/3.38 (~(X!2 = n8)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[356, 286])).
% 3.17/3.38 tff(358,plain,
% 3.17/3.38 (sum(n6, n10) = n5),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(359,plain,
% 3.17/3.38 (pred(n0) = n10),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(360,plain,
% 3.17/3.38 (sum(n5, n6) = n0),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(361,assumption,(X!2 = n5), introduced(assumption)).
% 3.17/3.38 tff(362,plain,
% 3.17/3.38 (sum(n2, n9) = n0),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(363,plain,
% 3.17/3.38 (sum(n8, n1) = n9),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(364,plain,
% 3.17/3.38 (sum(n5, n8) = n2),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(365,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n5, n8)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[361, 18])).
% 3.17/3.38 tff(366,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[365, 364])).
% 3.17/3.38 tff(367,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n2)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[366])).
% 3.17/3.38 tff(368,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n1),
% 3.17/3.38 inference(transitivity,[status(thm)],[367, 79])).
% 3.17/3.38 tff(369,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n8, n1)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[18, 368])).
% 3.17/3.38 tff(370,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n9),
% 3.17/3.38 inference(transitivity,[status(thm)],[369, 363])).
% 3.17/3.38 tff(371,plain,
% 3.17/3.38 (sum(n5, n9) = n3),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(372,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n5, n9)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[361, 32])).
% 3.17/3.38 tff(373,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n3),
% 3.17/3.38 inference(transitivity,[status(thm)],[372, 371])).
% 3.17/3.38 tff(374,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n3)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[373])).
% 3.17/3.38 tff(375,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[374, 21])).
% 3.17/3.38 tff(376,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n2, n9)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[375, 370])).
% 3.17/3.38 tff(377,plain,
% 3.17/3.38 (Z!0 = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 376, 362])).
% 3.17/3.38 tff(378,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[207, 377])).
% 3.17/3.38 tff(379,plain,((~(Y!1 = n8)) | (~(X!2 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(380,plain,
% 3.17/3.38 (~(Y!1 = n8)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[379, 361])).
% 3.17/3.38 tff(381,plain,
% 3.17/3.38 (sum(n3, n0) = n3),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(382,plain,
% 3.17/3.38 (sum(n9, n2) = n0),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(383,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n5, n9)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[361, 52])).
% 3.17/3.38 tff(384,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n3),
% 3.17/3.38 inference(transitivity,[status(thm)],[383, 371])).
% 3.17/3.38 tff(385,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n3)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[384])).
% 3.17/3.38 tff(386,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[385, 21])).
% 3.17/3.38 tff(387,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n9, n2)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[52, 386])).
% 3.17/3.38 tff(388,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[387, 382])).
% 3.17/3.38 tff(389,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n5, n10)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[361, 62])).
% 3.17/3.38 tff(390,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n4),
% 3.17/3.38 inference(transitivity,[status(thm)],[389, 323])).
% 3.17/3.38 tff(391,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n4)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[390])).
% 3.17/3.38 tff(392,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n3),
% 3.17/3.38 inference(transitivity,[status(thm)],[391, 12])).
% 3.17/3.38 tff(393,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n3, n0)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[392, 388])).
% 3.17/3.38 tff(394,plain,
% 3.17/3.38 (Z!0 = n3),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 393, 381])).
% 3.17/3.38 tff(395,plain,
% 3.17/3.38 (~(Z!0 = n3)),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(396,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[395, 394])).
% 3.17/3.38 tff(397,plain,((~(Y!1 = n9)) | (~(X!2 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(398,plain,
% 3.17/3.38 (~(Y!1 = n9)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[397, 361])).
% 3.17/3.38 tff(399,plain,
% 3.17/3.38 (sum(n5, n4) = n9),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(400,plain,
% 3.17/3.38 (sum(n0, n4) = n4),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(401,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n5, n0)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[361, 167])).
% 3.17/3.38 tff(402,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n5),
% 3.17/3.38 inference(transitivity,[status(thm)],[401, 100])).
% 3.17/3.38 tff(403,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n5)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[402])).
% 3.17/3.38 tff(404,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n4),
% 3.17/3.38 inference(transitivity,[status(thm)],[403, 50])).
% 3.17/3.38 tff(405,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n0, n4)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[167, 404])).
% 3.17/3.38 tff(406,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n4),
% 3.17/3.38 inference(transitivity,[status(thm)],[405, 400])).
% 3.17/3.38 tff(407,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n5, n1)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[361, 181])).
% 3.17/3.38 tff(408,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n6),
% 3.17/3.38 inference(transitivity,[status(thm)],[407, 145])).
% 3.17/3.38 tff(409,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n6)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[408])).
% 3.17/3.38 tff(410,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n5),
% 3.17/3.38 inference(transitivity,[status(thm)],[409, 16])).
% 3.17/3.38 tff(411,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n5, n4)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[410, 406])).
% 3.17/3.38 tff(412,plain,
% 3.17/3.38 (Z!0 = n9),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 411, 399])).
% 3.17/3.38 tff(413,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[141, 412])).
% 3.17/3.38 tff(414,plain,((~(Y!1 = n0)) | (~(X!2 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(415,plain,
% 3.17/3.38 (~(Y!1 = n0)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[414, 361])).
% 3.17/3.38 tff(416,plain,
% 3.17/3.38 (sum(n1, n7) = n8),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(417,plain,
% 3.17/3.38 (sum(n5, n7) = n1),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(418,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n5, n7)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[361, 76])).
% 3.17/3.38 tff(419,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n1),
% 3.17/3.38 inference(transitivity,[status(thm)],[418, 417])).
% 3.17/3.38 tff(420,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n1)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[419])).
% 3.17/3.38 tff(421,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[420, 284])).
% 3.17/3.38 tff(422,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n7, n0)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[76, 421])).
% 3.17/3.38 tff(423,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n7),
% 3.17/3.38 inference(transitivity,[status(thm)],[422, 213])).
% 3.17/3.38 tff(424,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n5, n8)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[361, 89])).
% 3.17/3.38 tff(425,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[424, 364])).
% 3.17/3.38 tff(426,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n2)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[425])).
% 3.17/3.38 tff(427,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n1),
% 3.17/3.38 inference(transitivity,[status(thm)],[426, 79])).
% 3.17/3.38 tff(428,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n1, n7)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[427, 423])).
% 3.17/3.38 tff(429,plain,
% 3.17/3.38 (Z!0 = n8),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 428, 416])).
% 3.17/3.38 tff(430,plain,
% 3.17/3.38 (~(Z!0 = n8)),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(431,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[430, 429])).
% 3.17/3.38 tff(432,plain,((~(Y!1 = n7)) | (~(X!2 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(433,plain,
% 3.17/3.38 (~(Y!1 = n7)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[432, 361])).
% 3.17/3.38 tff(434,plain,
% 3.17/3.38 (sum(n3, n7) = n10),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(435,plain,
% 3.17/3.38 (sum(n5, n3) = n8),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(436,assumption,(Y!1 = n3), introduced(assumption)).
% 3.17/3.38 tff(437,plain,
% 3.17/3.38 (sum(n0, n2) = n2),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(438,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n8, n3)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[123, 436])).
% 3.17/3.38 tff(439,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[438, 45])).
% 3.17/3.38 tff(440,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n0)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[439])).
% 3.17/3.38 tff(441,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n10),
% 3.17/3.38 inference(transitivity,[status(thm)],[440, 359])).
% 3.17/3.38 tff(442,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n3, n10)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[436, 441])).
% 3.17/3.38 tff(443,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[442, 19])).
% 3.17/3.38 tff(444,plain,
% 3.17/3.38 (succ(n3) = n4),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(445,plain,
% 3.17/3.38 (succ(Y!1) = succ(n3)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[436])).
% 3.17/3.38 tff(446,plain,
% 3.17/3.38 (succ(Y!1) = n4),
% 3.17/3.38 inference(transitivity,[status(thm)],[445, 444])).
% 3.17/3.38 tff(447,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n8, n4)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[123, 446])).
% 3.17/3.38 tff(448,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n1),
% 3.17/3.38 inference(transitivity,[status(thm)],[447, 146])).
% 3.17/3.38 tff(449,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n1)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[448])).
% 3.17/3.38 tff(450,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[449, 284])).
% 3.17/3.38 tff(451,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n0, n2)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[450, 443])).
% 3.17/3.38 tff(452,plain,
% 3.17/3.38 (Z!0 = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 451, 437])).
% 3.17/3.38 tff(453,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[40, 452])).
% 3.17/3.38 tff(454,plain,((~(X!2 = n8)) | (~(Y!1 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(455,plain,
% 3.17/3.38 (~(X!2 = n8)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[454, 436])).
% 3.17/3.38 tff(456,plain,
% 3.17/3.38 (sum(n10, n1) = n0),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(457,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n7, n3)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[47, 436])).
% 3.17/3.38 tff(458,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n10),
% 3.17/3.38 inference(transitivity,[status(thm)],[457, 121])).
% 3.17/3.38 tff(459,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n10)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[458])).
% 3.17/3.38 tff(460,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n9),
% 3.17/3.38 inference(transitivity,[status(thm)],[459, 177])).
% 3.17/3.38 tff(461,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n3, n9)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[436, 460])).
% 3.17/3.38 tff(462,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n1),
% 3.17/3.38 inference(transitivity,[status(thm)],[461, 73])).
% 3.17/3.38 tff(463,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n7, n4)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[47, 446])).
% 3.17/3.38 tff(464,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[463, 101])).
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% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n0)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[464])).
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% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n10),
% 3.17/3.38 inference(transitivity,[status(thm)],[465, 359])).
% 3.17/3.38 tff(467,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n10, n1)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[466, 462])).
% 3.17/3.38 tff(468,plain,
% 3.17/3.38 (Z!0 = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 467, 456])).
% 3.17/3.38 tff(469,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[207, 468])).
% 3.17/3.38 tff(470,plain,((~(X!2 = n7)) | (~(Y!1 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(471,plain,
% 3.17/3.38 (~(X!2 = n7)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[470, 436])).
% 3.17/3.38 tff(472,plain,
% 3.17/3.38 (sum(n1, n3) = n4),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(473,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n9, n3)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[103, 436])).
% 3.17/3.38 tff(474,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n1),
% 3.17/3.38 inference(transitivity,[status(thm)],[473, 11])).
% 3.17/3.38 tff(475,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n1)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[474])).
% 3.17/3.38 tff(476,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[475, 284])).
% 3.17/3.38 tff(477,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n3, n0)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[436, 476])).
% 3.17/3.38 tff(478,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n3),
% 3.17/3.38 inference(transitivity,[status(thm)],[477, 381])).
% 3.17/3.38 tff(479,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n9, n4)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[103, 446])).
% 3.17/3.38 tff(480,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[479, 49])).
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% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n2)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[480])).
% 3.17/3.38 tff(482,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n1),
% 3.17/3.38 inference(transitivity,[status(thm)],[481, 79])).
% 3.17/3.38 tff(483,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n1, n3)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[482, 478])).
% 3.17/3.38 tff(484,plain,
% 3.17/3.38 (Z!0 = n4),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 483, 472])).
% 3.17/3.38 tff(485,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[338, 484])).
% 3.17/3.38 tff(486,plain,((~(X!2 = n9)) | (~(Y!1 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(487,plain,
% 3.17/3.38 (~(X!2 = n9)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[486, 436])).
% 3.17/3.38 tff(488,plain,
% 3.17/3.38 (sum(n2, n4) = n6),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(489,plain,
% 3.17/3.38 (sum(n3, n1) = n4),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(490,plain,
% 3.17/3.38 (sum(n10, n3) = n2),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(491,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n10, n3)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[232, 436])).
% 3.17/3.38 tff(492,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[491, 490])).
% 3.17/3.38 tff(493,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n2)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[492])).
% 3.17/3.38 tff(494,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n1),
% 3.17/3.38 inference(transitivity,[status(thm)],[493, 79])).
% 3.17/3.38 tff(495,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n3, n1)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[436, 494])).
% 3.17/3.38 tff(496,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n4),
% 3.17/3.38 inference(transitivity,[status(thm)],[495, 489])).
% 3.17/3.38 tff(497,plain,
% 3.17/3.38 (sum(n10, n4) = n3),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(498,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n10, n4)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[232, 446])).
% 3.17/3.38 tff(499,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n3),
% 3.17/3.38 inference(transitivity,[status(thm)],[498, 497])).
% 3.17/3.38 tff(500,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n3)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[499])).
% 3.17/3.38 tff(501,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[500, 21])).
% 3.17/3.38 tff(502,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n2, n4)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[501, 496])).
% 3.17/3.38 tff(503,plain,
% 3.17/3.38 (Z!0 = n6),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 502, 488])).
% 3.17/3.38 tff(504,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[160, 503])).
% 3.17/3.38 tff(505,plain,((~(X!2 = n10)) | (~(Y!1 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(506,plain,
% 3.17/3.38 (~(X!2 = n10)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[505, 436])).
% 3.17/3.38 tff(507,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n6, n3)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[23, 436])).
% 3.17/3.38 tff(508,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n9),
% 3.17/3.38 inference(transitivity,[status(thm)],[507, 124])).
% 3.17/3.38 tff(509,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n9)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[508])).
% 3.17/3.38 tff(510,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n8),
% 3.17/3.38 inference(transitivity,[status(thm)],[509, 169])).
% 3.17/3.38 tff(511,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n3, n8)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[436, 510])).
% 3.17/3.38 tff(512,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[511, 342])).
% 3.17/3.38 tff(513,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n6, n4)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[23, 446])).
% 3.17/3.38 tff(514,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n10),
% 3.17/3.38 inference(transitivity,[status(thm)],[513, 324])).
% 3.17/3.38 tff(515,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n10)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[514])).
% 3.17/3.38 tff(516,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n9),
% 3.17/3.38 inference(transitivity,[status(thm)],[515, 177])).
% 3.17/3.38 tff(517,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n9, n0)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[516, 512])).
% 3.17/3.38 tff(518,plain,
% 3.17/3.38 (Z!0 = n9),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 517, 170])).
% 3.17/3.38 tff(519,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[141, 518])).
% 3.17/3.38 tff(520,plain,((~(X!2 = n6)) | (~(Y!1 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(521,plain,
% 3.17/3.38 (~(X!2 = n6)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[520, 436])).
% 3.17/3.38 tff(522,plain,
% 3.17/3.38 (sum(n3, n6) = n9),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(523,plain,
% 3.17/3.38 (sum(n4, n3) = n7),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(524,assumption,(X!2 = n4), introduced(assumption)).
% 3.17/3.38 tff(525,plain,
% 3.17/3.38 (sum(n4, n7) = n0),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(526,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n4, n7)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[524, 76])).
% 3.17/3.38 tff(527,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[526, 525])).
% 3.17/3.38 tff(528,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n0)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[527])).
% 3.17/3.38 tff(529,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n10),
% 3.17/3.38 inference(transitivity,[status(thm)],[528, 359])).
% 3.17/3.38 tff(530,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n7, n10)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[76, 529])).
% 3.17/3.38 tff(531,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n6),
% 3.17/3.38 inference(transitivity,[status(thm)],[530, 59])).
% 3.17/3.38 tff(532,plain,
% 3.17/3.38 (sum(n4, n8) = n1),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(533,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n4, n8)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[524, 89])).
% 3.17/3.38 tff(534,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n1),
% 3.17/3.38 inference(transitivity,[status(thm)],[533, 532])).
% 3.17/3.38 tff(535,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n1)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[534])).
% 3.17/3.38 tff(536,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[535, 284])).
% 3.17/3.38 tff(537,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n0, n6)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[536, 531])).
% 3.17/3.38 tff(538,plain,
% 3.17/3.38 (Z!0 = n6),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 537, 212])).
% 3.17/3.38 tff(539,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[160, 538])).
% 3.17/3.38 tff(540,plain,((~(Y!1 = n7)) | (~(X!2 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(541,plain,
% 3.17/3.38 (~(Y!1 = n7)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[540, 524])).
% 3.17/3.38 tff(542,plain,
% 3.17/3.38 (sum(n1, n8) = n9),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(543,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n4, n8)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[524, 18])).
% 3.17/3.38 tff(544,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n1),
% 3.17/3.38 inference(transitivity,[status(thm)],[543, 532])).
% 3.17/3.38 tff(545,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n1)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[544])).
% 3.17/3.38 tff(546,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[545, 284])).
% 3.17/3.38 tff(547,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n8, n0)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[18, 546])).
% 3.17/3.38 tff(548,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n8),
% 3.17/3.38 inference(transitivity,[status(thm)],[547, 166])).
% 3.17/3.38 tff(549,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n4, n9)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[524, 32])).
% 3.17/3.38 tff(550,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[549, 306])).
% 3.17/3.38 tff(551,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n2)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[550])).
% 3.17/3.38 tff(552,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n1),
% 3.17/3.38 inference(transitivity,[status(thm)],[551, 79])).
% 3.17/3.38 tff(553,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n1, n8)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[552, 548])).
% 3.17/3.38 tff(554,plain,
% 3.17/3.38 (Z!0 = n9),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 553, 542])).
% 3.17/3.38 tff(555,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[141, 554])).
% 3.17/3.38 tff(556,plain,((~(Y!1 = n8)) | (~(X!2 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(557,plain,
% 3.17/3.38 (~(Y!1 = n8)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[556, 524])).
% 3.17/3.38 tff(558,plain,
% 3.17/3.38 (sum(n2, n10) = n1),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(559,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n4, n9)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[524, 52])).
% 3.17/3.38 tff(560,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[559, 306])).
% 3.17/3.38 tff(561,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n2)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[560])).
% 3.17/3.38 tff(562,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n1),
% 3.17/3.38 inference(transitivity,[status(thm)],[561, 79])).
% 3.17/3.38 tff(563,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n9, n1)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[52, 562])).
% 3.17/3.38 tff(564,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n10),
% 3.17/3.38 inference(transitivity,[status(thm)],[563, 178])).
% 3.17/3.38 tff(565,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n4, n10)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[524, 62])).
% 3.17/3.38 tff(566,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n3),
% 3.17/3.38 inference(transitivity,[status(thm)],[565, 120])).
% 3.17/3.38 tff(567,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n3)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[566])).
% 3.17/3.38 tff(568,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[567, 21])).
% 3.17/3.38 tff(569,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n2, n10)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[568, 564])).
% 3.17/3.38 tff(570,plain,
% 3.17/3.38 (Z!0 = n1),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 569, 558])).
% 3.17/3.38 tff(571,plain,
% 3.17/3.38 (~(Z!0 = n1)),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(572,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[571, 570])).
% 3.17/3.38 tff(573,plain,((~(Y!1 = n9)) | (~(X!2 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(574,plain,
% 3.17/3.38 (~(Y!1 = n9)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[573, 524])).
% 3.17/3.38 tff(575,plain,
% 3.17/3.38 (sum(n0, n3) = n3),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(576,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n4, n0)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[524, 167])).
% 3.17/3.38 tff(577,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n4),
% 3.17/3.38 inference(transitivity,[status(thm)],[576, 44])).
% 3.17/3.38 tff(578,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n4)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[577])).
% 3.17/3.38 tff(579,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n3),
% 3.17/3.38 inference(transitivity,[status(thm)],[578, 12])).
% 3.17/3.38 tff(580,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n0, n3)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[167, 579])).
% 3.17/3.38 tff(581,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n3),
% 3.17/3.38 inference(transitivity,[status(thm)],[580, 575])).
% 3.17/3.38 tff(582,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n4, n1)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[524, 181])).
% 3.17/3.38 tff(583,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n5),
% 3.17/3.38 inference(transitivity,[status(thm)],[582, 10])).
% 3.17/3.38 tff(584,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n5)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[583])).
% 3.17/3.38 tff(585,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n4),
% 3.17/3.38 inference(transitivity,[status(thm)],[584, 50])).
% 3.17/3.38 tff(586,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n4, n3)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[585, 581])).
% 3.17/3.38 tff(587,plain,
% 3.17/3.38 (Z!0 = n7),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 586, 523])).
% 3.17/3.38 tff(588,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[69, 587])).
% 3.17/3.38 tff(589,plain,((~(Y!1 = n0)) | (~(X!2 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(590,plain,
% 3.17/3.38 (~(Y!1 = n0)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[589, 524])).
% 3.17/3.38 tff(591,plain,
% 3.17/3.38 (sum(n4, n6) = n10),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(592,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n4, n6)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[524, 286])).
% 3.17/3.38 tff(593,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n10),
% 3.17/3.38 inference(transitivity,[status(thm)],[592, 591])).
% 3.17/3.38 tff(594,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n10)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[593])).
% 3.17/3.38 tff(595,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n9),
% 3.17/3.38 inference(transitivity,[status(thm)],[594, 177])).
% 3.17/3.38 tff(596,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n6, n9)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[286, 595])).
% 3.17/3.38 tff(597,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n4),
% 3.17/3.38 inference(transitivity,[status(thm)],[596, 13])).
% 3.17/3.38 tff(598,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n4, n7)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[524, 296])).
% 3.17/3.38 tff(599,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[598, 525])).
% 3.17/3.38 tff(600,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n0)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[599])).
% 3.17/3.38 tff(601,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n10),
% 3.17/3.38 inference(transitivity,[status(thm)],[600, 359])).
% 3.17/3.38 tff(602,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n10, n4)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[601, 597])).
% 3.17/3.38 tff(603,plain,
% 3.17/3.38 (Z!0 = n3),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 602, 497])).
% 3.17/3.38 tff(604,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[395, 603])).
% 3.17/3.38 tff(605,plain,((~(Y!1 = n6)) | (~(X!2 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(606,plain,
% 3.17/3.38 (~(Y!1 = n6)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[605, 524])).
% 3.17/3.38 tff(607,plain,
% 3.17/3.38 (sum(n4, n5) = n9),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(608,assumption,(Y!1 = n5), introduced(assumption)).
% 3.17/3.38 tff(609,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n6, n5)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[23, 608])).
% 3.17/3.38 tff(610,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[609, 191])).
% 3.17/3.38 tff(611,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n0)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[610])).
% 3.17/3.38 tff(612,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n10),
% 3.17/3.38 inference(transitivity,[status(thm)],[611, 359])).
% 3.17/3.38 tff(613,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n5, n10)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[608, 612])).
% 3.17/3.38 tff(614,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n4),
% 3.17/3.38 inference(transitivity,[status(thm)],[613, 323])).
% 3.17/3.38 tff(615,plain,
% 3.17/3.38 (succ(n5) = n6),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(616,plain,
% 3.17/3.38 (succ(Y!1) = succ(n5)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[608])).
% 3.17/3.38 tff(617,plain,
% 3.17/3.38 (succ(Y!1) = n6),
% 3.17/3.38 inference(transitivity,[status(thm)],[616, 615])).
% 3.17/3.38 tff(618,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n6, n6)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[23, 617])).
% 3.17/3.38 tff(619,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n1),
% 3.17/3.38 inference(transitivity,[status(thm)],[618, 285])).
% 3.17/3.38 tff(620,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n1)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[619])).
% 3.17/3.38 tff(621,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n0),
% 3.17/3.38 inference(transitivity,[status(thm)],[620, 284])).
% 3.17/3.38 tff(622,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n0, n4)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[621, 614])).
% 3.17/3.38 tff(623,plain,
% 3.17/3.38 (Z!0 = n4),
% 3.17/3.38 inference(transitivity,[status(thm)],[38, 622, 400])).
% 3.17/3.38 tff(624,plain,
% 3.17/3.38 ($false),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[338, 623])).
% 3.17/3.38 tff(625,plain,((~(X!2 = n6)) | (~(Y!1 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.38 tff(626,plain,
% 3.17/3.38 (~(X!2 = n6)),
% 3.17/3.38 inference(unit_resolution,[status(thm)],[625, 608])).
% 3.17/3.38 tff(627,plain,
% 3.17/3.38 (sum(n2, n6) = n8),
% 3.17/3.38 inference(and_elim,[status(thm)],[9])).
% 3.17/3.38 tff(628,plain,
% 3.17/3.38 (sum(X!2, Y!1) = sum(n8, n5)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[123, 608])).
% 3.17/3.38 tff(629,plain,
% 3.17/3.38 (sum(X!2, Y!1) = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[628, 15])).
% 3.17/3.38 tff(630,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = pred(n2)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[629])).
% 3.17/3.38 tff(631,plain,
% 3.17/3.38 (pred(sum(X!2, Y!1)) = n1),
% 3.17/3.38 inference(transitivity,[status(thm)],[630, 79])).
% 3.17/3.38 tff(632,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n5, n1)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[608, 631])).
% 3.17/3.38 tff(633,plain,
% 3.17/3.38 (sum(Y!1, pred(sum(X!2, Y!1))) = n6),
% 3.17/3.38 inference(transitivity,[status(thm)],[632, 145])).
% 3.17/3.38 tff(634,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = sum(n8, n6)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[123, 617])).
% 3.17/3.38 tff(635,plain,
% 3.17/3.38 (sum(X!2, succ(Y!1)) = n3),
% 3.17/3.38 inference(transitivity,[status(thm)],[634, 233])).
% 3.17/3.38 tff(636,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = pred(n3)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[635])).
% 3.17/3.38 tff(637,plain,
% 3.17/3.38 (pred(sum(X!2, succ(Y!1))) = n2),
% 3.17/3.38 inference(transitivity,[status(thm)],[636, 21])).
% 3.17/3.38 tff(638,plain,
% 3.17/3.38 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n2, n6)),
% 3.17/3.38 inference(monotonicity,[status(thm)],[637, 633])).
% 3.17/3.39 tff(639,plain,
% 3.17/3.39 (Z!0 = n8),
% 3.17/3.39 inference(transitivity,[status(thm)],[38, 638, 627])).
% 3.17/3.39 tff(640,plain,
% 3.17/3.39 ($false),
% 3.17/3.39 inference(unit_resolution,[status(thm)],[430, 639])).
% 3.17/3.39 tff(641,plain,((~(X!2 = n8)) | (~(Y!1 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.39 tff(642,plain,
% 3.17/3.39 (~(X!2 = n8)),
% 3.17/3.39 inference(unit_resolution,[status(thm)],[641, 608])).
% 3.17/3.39 tff(643,plain,
% 3.17/3.39 (sum(n1, n5) = n6),
% 3.17/3.39 inference(and_elim,[status(thm)],[9])).
% 3.17/3.39 tff(644,plain,
% 3.17/3.39 (sum(X!2, Y!1) = sum(n7, n5)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[47, 608])).
% 3.17/3.39 tff(645,plain,
% 3.17/3.39 (sum(X!2, Y!1) = n1),
% 3.17/3.39 inference(transitivity,[status(thm)],[644, 266])).
% 3.17/3.39 tff(646,plain,
% 3.17/3.39 (pred(sum(X!2, Y!1)) = pred(n1)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[645])).
% 3.17/3.39 tff(647,plain,
% 3.17/3.39 (pred(sum(X!2, Y!1)) = n0),
% 3.17/3.39 inference(transitivity,[status(thm)],[646, 284])).
% 3.17/3.39 tff(648,plain,
% 3.17/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n5, n0)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[608, 647])).
% 3.17/3.39 tff(649,plain,
% 3.17/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n5),
% 3.17/3.39 inference(transitivity,[status(thm)],[648, 100])).
% 3.17/3.39 tff(650,plain,
% 3.17/3.39 (sum(X!2, succ(Y!1)) = sum(n7, n6)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[47, 617])).
% 3.17/3.39 tff(651,plain,
% 3.17/3.39 (sum(X!2, succ(Y!1)) = n2),
% 3.17/3.39 inference(transitivity,[status(thm)],[650, 211])).
% 3.17/3.39 tff(652,plain,
% 3.17/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n2)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[651])).
% 3.17/3.39 tff(653,plain,
% 3.17/3.39 (pred(sum(X!2, succ(Y!1))) = n1),
% 3.17/3.39 inference(transitivity,[status(thm)],[652, 79])).
% 3.17/3.39 tff(654,plain,
% 3.17/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n1, n5)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[653, 649])).
% 3.17/3.39 tff(655,plain,
% 3.17/3.39 (Z!0 = n6),
% 3.17/3.39 inference(transitivity,[status(thm)],[38, 654, 643])).
% 3.17/3.39 tff(656,plain,
% 3.17/3.39 ($false),
% 3.17/3.39 inference(unit_resolution,[status(thm)],[160, 655])).
% 3.17/3.39 tff(657,plain,((~(X!2 = n7)) | (~(Y!1 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.39 tff(658,plain,
% 3.17/3.39 (~(X!2 = n7)),
% 3.17/3.39 inference(unit_resolution,[status(thm)],[657, 608])).
% 3.17/3.39 tff(659,plain,
% 3.17/3.39 (sum(X!2, Y!1) = sum(n9, n5)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[103, 608])).
% 3.17/3.39 tff(660,plain,
% 3.17/3.39 (sum(X!2, Y!1) = n3),
% 3.17/3.39 inference(transitivity,[status(thm)],[659, 125])).
% 3.17/3.39 tff(661,plain,
% 3.17/3.39 (pred(sum(X!2, Y!1)) = pred(n3)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[660])).
% 3.17/3.39 tff(662,plain,
% 3.17/3.39 (pred(sum(X!2, Y!1)) = n2),
% 3.17/3.39 inference(transitivity,[status(thm)],[661, 21])).
% 3.17/3.39 tff(663,plain,
% 3.17/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n5, n2)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[608, 662])).
% 3.17/3.39 tff(664,plain,
% 3.17/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n7),
% 3.17/3.39 inference(transitivity,[status(thm)],[663, 48])).
% 3.17/3.39 tff(665,plain,
% 3.17/3.39 (sum(X!2, succ(Y!1)) = sum(n9, n6)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[103, 617])).
% 3.17/3.39 tff(666,plain,
% 3.17/3.39 (sum(X!2, succ(Y!1)) = n4),
% 3.17/3.39 inference(transitivity,[status(thm)],[665, 307])).
% 3.17/3.39 tff(667,plain,
% 3.17/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n4)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[666])).
% 3.17/3.39 tff(668,plain,
% 3.17/3.39 (pred(sum(X!2, succ(Y!1))) = n3),
% 3.17/3.39 inference(transitivity,[status(thm)],[667, 12])).
% 3.17/3.39 tff(669,plain,
% 3.17/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n3, n7)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[668, 664])).
% 3.17/3.39 tff(670,plain,
% 3.17/3.39 (Z!0 = n10),
% 3.17/3.39 inference(transitivity,[status(thm)],[38, 669, 434])).
% 3.17/3.39 tff(671,plain,
% 3.17/3.39 ($false),
% 3.17/3.39 inference(unit_resolution,[status(thm)],[96, 670])).
% 3.17/3.39 tff(672,plain,((~(X!2 = n9)) | (~(Y!1 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.39 tff(673,plain,
% 3.17/3.39 (~(X!2 = n9)),
% 3.17/3.39 inference(unit_resolution,[status(thm)],[672, 608])).
% 3.17/3.39 tff(674,plain,
% 3.17/3.39 (sum(n10, n5) = n4),
% 3.17/3.39 inference(and_elim,[status(thm)],[9])).
% 3.17/3.39 tff(675,plain,
% 3.17/3.39 (sum(X!2, Y!1) = sum(n10, n5)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[232, 608])).
% 3.17/3.39 tff(676,plain,
% 3.17/3.39 (sum(X!2, Y!1) = n4),
% 3.17/3.39 inference(transitivity,[status(thm)],[675, 674])).
% 3.17/3.39 tff(677,plain,
% 3.17/3.39 (pred(sum(X!2, Y!1)) = pred(n4)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[676])).
% 3.17/3.39 tff(678,plain,
% 3.17/3.39 (pred(sum(X!2, Y!1)) = n3),
% 3.17/3.39 inference(transitivity,[status(thm)],[677, 12])).
% 3.17/3.39 tff(679,plain,
% 3.17/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n5, n3)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[608, 678])).
% 3.17/3.39 tff(680,plain,
% 3.17/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n8),
% 3.17/3.39 inference(transitivity,[status(thm)],[679, 435])).
% 3.17/3.39 tff(681,plain,
% 3.17/3.39 (sum(X!2, succ(Y!1)) = sum(n10, n6)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[232, 617])).
% 3.17/3.39 tff(682,plain,
% 3.17/3.39 (sum(X!2, succ(Y!1)) = n5),
% 3.17/3.39 inference(transitivity,[status(thm)],[681, 325])).
% 3.17/3.39 tff(683,plain,
% 3.17/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n5)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[682])).
% 3.17/3.39 tff(684,plain,
% 3.17/3.39 (pred(sum(X!2, succ(Y!1))) = n4),
% 3.17/3.39 inference(transitivity,[status(thm)],[683, 50])).
% 3.17/3.39 tff(685,plain,
% 3.17/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n4, n8)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[684, 680])).
% 3.17/3.39 tff(686,plain,
% 3.17/3.39 (Z!0 = n1),
% 3.17/3.39 inference(transitivity,[status(thm)],[38, 685, 532])).
% 3.17/3.39 tff(687,plain,
% 3.17/3.39 ($false),
% 3.17/3.39 inference(unit_resolution,[status(thm)],[571, 686])).
% 3.17/3.39 tff(688,plain,((~(X!2 = n10)) | (~(Y!1 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.39 tff(689,plain,
% 3.17/3.39 (~(X!2 = n10)),
% 3.17/3.39 inference(unit_resolution,[status(thm)],[688, 608])).
% 3.17/3.39 tff(690,plain,
% 3.17/3.39 (sum(n5, n5) = n10),
% 3.17/3.39 inference(and_elim,[status(thm)],[9])).
% 3.17/3.39 tff(691,plain,
% 3.17/3.39 (sum(X!2, Y!1) = sum(n5, n5)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[361, 608])).
% 3.17/3.39 tff(692,plain,
% 3.17/3.39 (sum(X!2, Y!1) = n10),
% 3.17/3.39 inference(transitivity,[status(thm)],[691, 690])).
% 3.17/3.39 tff(693,plain,
% 3.17/3.39 (pred(sum(X!2, Y!1)) = pred(n10)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[692])).
% 3.17/3.39 tff(694,plain,
% 3.17/3.39 (pred(sum(X!2, Y!1)) = n9),
% 3.17/3.39 inference(transitivity,[status(thm)],[693, 177])).
% 3.17/3.39 tff(695,plain,
% 3.17/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n5, n9)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[608, 694])).
% 3.17/3.39 tff(696,plain,
% 3.17/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n3),
% 3.17/3.39 inference(transitivity,[status(thm)],[695, 371])).
% 3.17/3.39 tff(697,plain,
% 3.17/3.39 (sum(X!2, succ(Y!1)) = sum(n5, n6)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[361, 617])).
% 3.17/3.39 tff(698,plain,
% 3.17/3.39 (sum(X!2, succ(Y!1)) = n0),
% 3.17/3.39 inference(transitivity,[status(thm)],[697, 360])).
% 3.17/3.39 tff(699,plain,
% 3.17/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n0)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[698])).
% 3.17/3.39 tff(700,plain,
% 3.17/3.39 (pred(sum(X!2, succ(Y!1))) = n10),
% 3.17/3.39 inference(transitivity,[status(thm)],[699, 359])).
% 3.17/3.39 tff(701,plain,
% 3.17/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n10, n3)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[700, 696])).
% 3.17/3.39 tff(702,plain,
% 3.17/3.39 (Z!0 = n2),
% 3.17/3.39 inference(transitivity,[status(thm)],[38, 701, 490])).
% 3.17/3.39 tff(703,plain,
% 3.17/3.39 ($false),
% 3.17/3.39 inference(unit_resolution,[status(thm)],[40, 702])).
% 3.17/3.39 tff(704,plain,((~(X!2 = n5)) | (~(Y!1 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.39 tff(705,plain,
% 3.17/3.39 (~(X!2 = n5)),
% 3.17/3.39 inference(unit_resolution,[status(thm)],[704, 608])).
% 3.17/3.39 tff(706,plain,
% 3.17/3.39 (sum(n3, n5) = n8),
% 3.17/3.39 inference(and_elim,[status(thm)],[9])).
% 3.17/3.39 tff(707,assumption,(X!2 = n3), introduced(assumption)).
% 3.17/3.39 tff(708,plain,
% 3.17/3.39 (sum(X!2, Y!1) = sum(n3, n6)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[707, 286])).
% 3.17/3.39 tff(709,plain,
% 3.17/3.39 (sum(X!2, Y!1) = n9),
% 3.17/3.39 inference(transitivity,[status(thm)],[708, 522])).
% 3.17/3.39 tff(710,plain,
% 3.17/3.39 (pred(sum(X!2, Y!1)) = pred(n9)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[709])).
% 3.17/3.39 tff(711,plain,
% 3.17/3.39 (pred(sum(X!2, Y!1)) = n8),
% 3.17/3.39 inference(transitivity,[status(thm)],[710, 169])).
% 3.17/3.39 tff(712,plain,
% 3.17/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n6, n8)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[286, 711])).
% 3.17/3.39 tff(713,plain,
% 3.17/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n3),
% 3.17/3.39 inference(transitivity,[status(thm)],[712, 22])).
% 3.17/3.39 tff(714,plain,
% 3.17/3.39 (sum(X!2, succ(Y!1)) = sum(n3, n7)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[707, 296])).
% 3.17/3.39 tff(715,plain,
% 3.17/3.39 (sum(X!2, succ(Y!1)) = n10),
% 3.17/3.39 inference(transitivity,[status(thm)],[714, 434])).
% 3.17/3.39 tff(716,plain,
% 3.17/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n10)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[715])).
% 3.17/3.39 tff(717,plain,
% 3.17/3.39 (pred(sum(X!2, succ(Y!1))) = n9),
% 3.17/3.39 inference(transitivity,[status(thm)],[716, 177])).
% 3.17/3.39 tff(718,plain,
% 3.17/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n9, n3)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[717, 713])).
% 3.17/3.39 tff(719,plain,
% 3.17/3.39 (Z!0 = n1),
% 3.17/3.39 inference(transitivity,[status(thm)],[38, 718, 11])).
% 3.17/3.39 tff(720,plain,
% 3.17/3.39 ($false),
% 3.17/3.39 inference(unit_resolution,[status(thm)],[571, 719])).
% 3.17/3.39 tff(721,plain,((~(Y!1 = n6)) | (~(X!2 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.17/3.39 tff(722,plain,
% 3.17/3.39 (~(Y!1 = n6)),
% 3.17/3.39 inference(unit_resolution,[status(thm)],[721, 707])).
% 3.17/3.39 tff(723,plain,
% 3.17/3.39 (sum(X!2, Y!1) = sum(n3, n7)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[707, 76])).
% 3.17/3.39 tff(724,plain,
% 3.17/3.39 (sum(X!2, Y!1) = n10),
% 3.17/3.39 inference(transitivity,[status(thm)],[723, 434])).
% 3.17/3.39 tff(725,plain,
% 3.17/3.39 (pred(sum(X!2, Y!1)) = pred(n10)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[724])).
% 3.17/3.39 tff(726,plain,
% 3.17/3.39 (pred(sum(X!2, Y!1)) = n9),
% 3.17/3.39 inference(transitivity,[status(thm)],[725, 177])).
% 3.17/3.39 tff(727,plain,
% 3.17/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n7, n9)),
% 3.17/3.39 inference(monotonicity,[status(thm)],[76, 726])).
% 3.17/3.39 tff(728,plain,
% 3.17/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n5),
% 3.25/3.39 inference(transitivity,[status(thm)],[727, 51])).
% 3.25/3.39 tff(729,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = sum(n3, n8)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[707, 89])).
% 3.25/3.39 tff(730,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = n0),
% 3.25/3.39 inference(transitivity,[status(thm)],[729, 342])).
% 3.25/3.39 tff(731,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n0)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[730])).
% 3.25/3.39 tff(732,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = n10),
% 3.25/3.39 inference(transitivity,[status(thm)],[731, 359])).
% 3.25/3.39 tff(733,plain,
% 3.25/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n10, n5)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[732, 728])).
% 3.25/3.39 tff(734,plain,
% 3.25/3.39 (Z!0 = n4),
% 3.25/3.39 inference(transitivity,[status(thm)],[38, 733, 674])).
% 3.25/3.39 tff(735,plain,
% 3.25/3.39 ($false),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[338, 734])).
% 3.25/3.39 tff(736,plain,((~(Y!1 = n7)) | (~(X!2 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.39 tff(737,plain,
% 3.25/3.39 (~(Y!1 = n7)),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[736, 707])).
% 3.25/3.39 tff(738,plain,
% 3.25/3.39 (sum(X!2, Y!1) = sum(n3, n8)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[707, 18])).
% 3.25/3.39 tff(739,plain,
% 3.25/3.39 (sum(X!2, Y!1) = n0),
% 3.25/3.39 inference(transitivity,[status(thm)],[738, 342])).
% 3.25/3.39 tff(740,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = pred(n0)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[739])).
% 3.25/3.39 tff(741,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = n10),
% 3.25/3.39 inference(transitivity,[status(thm)],[740, 359])).
% 3.25/3.39 tff(742,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n8, n10)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[18, 741])).
% 3.25/3.39 tff(743,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n7),
% 3.25/3.39 inference(transitivity,[status(thm)],[742, 134])).
% 3.25/3.39 tff(744,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = sum(n3, n9)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[707, 32])).
% 3.25/3.39 tff(745,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = n1),
% 3.25/3.39 inference(transitivity,[status(thm)],[744, 73])).
% 3.25/3.39 tff(746,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n1)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[745])).
% 3.25/3.39 tff(747,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = n0),
% 3.25/3.39 inference(transitivity,[status(thm)],[746, 284])).
% 3.25/3.39 tff(748,plain,
% 3.25/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n0, n7)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[747, 743])).
% 3.25/3.39 tff(749,plain,
% 3.25/3.39 (Z!0 = n7),
% 3.25/3.39 inference(transitivity,[status(thm)],[38, 748, 164])).
% 3.25/3.39 tff(750,plain,
% 3.25/3.39 ($false),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[69, 749])).
% 3.25/3.39 tff(751,plain,((~(Y!1 = n8)) | (~(X!2 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.39 tff(752,plain,
% 3.25/3.39 (~(Y!1 = n8)),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[751, 707])).
% 3.25/3.39 tff(753,plain,
% 3.25/3.39 (sum(n1, n9) = n10),
% 3.25/3.39 inference(and_elim,[status(thm)],[9])).
% 3.25/3.39 tff(754,plain,
% 3.25/3.39 (sum(X!2, Y!1) = sum(n3, n9)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[707, 52])).
% 3.25/3.39 tff(755,plain,
% 3.25/3.39 (sum(X!2, Y!1) = n1),
% 3.25/3.39 inference(transitivity,[status(thm)],[754, 73])).
% 3.25/3.39 tff(756,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = pred(n1)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[755])).
% 3.25/3.39 tff(757,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = n0),
% 3.25/3.39 inference(transitivity,[status(thm)],[756, 284])).
% 3.25/3.39 tff(758,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n9, n0)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[52, 757])).
% 3.25/3.39 tff(759,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n9),
% 3.25/3.39 inference(transitivity,[status(thm)],[758, 170])).
% 3.25/3.39 tff(760,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = sum(n3, n10)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[707, 62])).
% 3.25/3.39 tff(761,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = n2),
% 3.25/3.39 inference(transitivity,[status(thm)],[760, 19])).
% 3.25/3.39 tff(762,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n2)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[761])).
% 3.25/3.39 tff(763,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = n1),
% 3.25/3.39 inference(transitivity,[status(thm)],[762, 79])).
% 3.25/3.39 tff(764,plain,
% 3.25/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n1, n9)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[763, 759])).
% 3.25/3.39 tff(765,plain,
% 3.25/3.39 (Z!0 = n10),
% 3.25/3.39 inference(transitivity,[status(thm)],[38, 764, 753])).
% 3.25/3.39 tff(766,plain,
% 3.25/3.39 ($false),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[96, 765])).
% 3.25/3.39 tff(767,plain,((~(Y!1 = n9)) | (~(X!2 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.39 tff(768,plain,
% 3.25/3.39 (~(Y!1 = n9)),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[767, 707])).
% 3.25/3.39 tff(769,plain,
% 3.25/3.39 (sum(n3, n2) = n5),
% 3.25/3.39 inference(and_elim,[status(thm)],[9])).
% 3.25/3.39 tff(770,plain,
% 3.25/3.39 (sum(X!2, Y!1) = sum(n3, n0)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[707, 167])).
% 3.25/3.39 tff(771,plain,
% 3.25/3.39 (sum(X!2, Y!1) = n3),
% 3.25/3.39 inference(transitivity,[status(thm)],[770, 381])).
% 3.25/3.39 tff(772,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = pred(n3)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[771])).
% 3.25/3.39 tff(773,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = n2),
% 3.25/3.39 inference(transitivity,[status(thm)],[772, 21])).
% 3.25/3.39 tff(774,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n0, n2)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[167, 773])).
% 3.25/3.39 tff(775,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n2),
% 3.25/3.39 inference(transitivity,[status(thm)],[774, 437])).
% 3.25/3.39 tff(776,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = sum(n3, n1)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[707, 181])).
% 3.25/3.39 tff(777,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = n4),
% 3.25/3.39 inference(transitivity,[status(thm)],[776, 489])).
% 3.25/3.39 tff(778,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n4)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[777])).
% 3.25/3.39 tff(779,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = n3),
% 3.25/3.39 inference(transitivity,[status(thm)],[778, 12])).
% 3.25/3.39 tff(780,plain,
% 3.25/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n3, n2)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[779, 775])).
% 3.25/3.39 tff(781,plain,
% 3.25/3.39 (Z!0 = n5),
% 3.25/3.39 inference(transitivity,[status(thm)],[38, 780, 769])).
% 3.25/3.39 tff(782,plain,
% 3.25/3.39 ($false),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[116, 781])).
% 3.25/3.39 tff(783,plain,((~(Y!1 = n0)) | (~(X!2 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.39 tff(784,plain,
% 3.25/3.39 (~(Y!1 = n0)),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[783, 707])).
% 3.25/3.39 tff(785,plain,
% 3.25/3.39 (sum(n3, n3) = n6),
% 3.25/3.39 inference(and_elim,[status(thm)],[9])).
% 3.25/3.39 tff(786,plain,
% 3.25/3.39 (sum(X!2, Y!1) = sum(n3, n3)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[707, 436])).
% 3.25/3.39 tff(787,plain,
% 3.25/3.39 (sum(X!2, Y!1) = n6),
% 3.25/3.39 inference(transitivity,[status(thm)],[786, 785])).
% 3.25/3.39 tff(788,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = pred(n6)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[787])).
% 3.25/3.39 tff(789,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = n5),
% 3.25/3.39 inference(transitivity,[status(thm)],[788, 16])).
% 3.25/3.39 tff(790,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n3, n5)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[436, 789])).
% 3.25/3.39 tff(791,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n8),
% 3.25/3.39 inference(transitivity,[status(thm)],[790, 706])).
% 3.25/3.39 tff(792,plain,
% 3.25/3.39 (sum(n3, n4) = n7),
% 3.25/3.39 inference(and_elim,[status(thm)],[9])).
% 3.25/3.39 tff(793,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = sum(n3, n4)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[707, 446])).
% 3.25/3.39 tff(794,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = n7),
% 3.25/3.39 inference(transitivity,[status(thm)],[793, 792])).
% 3.25/3.39 tff(795,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n7)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[794])).
% 3.25/3.39 tff(796,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = n6),
% 3.25/3.39 inference(transitivity,[status(thm)],[795, 133])).
% 3.25/3.39 tff(797,plain,
% 3.25/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n6, n8)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[796, 791])).
% 3.25/3.39 tff(798,plain,
% 3.25/3.39 (Z!0 = n3),
% 3.25/3.39 inference(transitivity,[status(thm)],[38, 797, 22])).
% 3.25/3.39 tff(799,plain,
% 3.25/3.39 ($false),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[395, 798])).
% 3.25/3.39 tff(800,plain,((~(Y!1 = n3)) | (~(X!2 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.39 tff(801,plain,
% 3.25/3.39 (~(Y!1 = n3)),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[800, 707])).
% 3.25/3.39 tff(802,assumption,(Y!1 = n2), introduced(assumption)).
% 3.25/3.39 tff(803,plain,
% 3.25/3.39 (sum(X!2, Y!1) = sum(n5, n2)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[361, 802])).
% 3.25/3.39 tff(804,plain,
% 3.25/3.39 (sum(X!2, Y!1) = n7),
% 3.25/3.39 inference(transitivity,[status(thm)],[803, 48])).
% 3.25/3.39 tff(805,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = pred(n7)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[804])).
% 3.25/3.39 tff(806,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = n6),
% 3.25/3.39 inference(transitivity,[status(thm)],[805, 133])).
% 3.25/3.39 tff(807,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n2, n6)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[802, 806])).
% 3.25/3.39 tff(808,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n8),
% 3.25/3.39 inference(transitivity,[status(thm)],[807, 627])).
% 3.25/3.39 tff(809,plain,
% 3.25/3.39 (succ(n2) = n3),
% 3.25/3.39 inference(and_elim,[status(thm)],[9])).
% 3.25/3.39 tff(810,plain,
% 3.25/3.39 (succ(Y!1) = succ(n2)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[802])).
% 3.25/3.39 tff(811,plain,
% 3.25/3.39 (succ(Y!1) = n3),
% 3.25/3.39 inference(transitivity,[status(thm)],[810, 809])).
% 3.25/3.39 tff(812,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = sum(n5, n3)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[361, 811])).
% 3.25/3.39 tff(813,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = n8),
% 3.25/3.39 inference(transitivity,[status(thm)],[812, 435])).
% 3.25/3.39 tff(814,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n8)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[813])).
% 3.25/3.39 tff(815,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = n7),
% 3.25/3.39 inference(transitivity,[status(thm)],[814, 165])).
% 3.25/3.39 tff(816,plain,
% 3.25/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n7, n8)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[815, 808])).
% 3.25/3.39 tff(817,plain,
% 3.25/3.39 (Z!0 = n4),
% 3.25/3.39 inference(transitivity,[status(thm)],[38, 816, 46])).
% 3.25/3.39 tff(818,plain,
% 3.25/3.39 ($false),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[338, 817])).
% 3.25/3.39 tff(819,plain,((~(X!2 = n5)) | (~(Y!1 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.39 tff(820,plain,
% 3.25/3.39 (~(X!2 = n5)),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[819, 802])).
% 3.25/3.39 tff(821,plain,
% 3.25/3.39 (sum(X!2, Y!1) = sum(n6, n2)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[23, 802])).
% 3.25/3.39 tff(822,plain,
% 3.25/3.39 (sum(X!2, Y!1) = n8),
% 3.25/3.39 inference(transitivity,[status(thm)],[821, 14])).
% 3.25/3.39 tff(823,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = pred(n8)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[822])).
% 3.25/3.39 tff(824,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = n7),
% 3.25/3.39 inference(transitivity,[status(thm)],[823, 165])).
% 3.25/3.39 tff(825,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n2, n7)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[802, 824])).
% 3.25/3.39 tff(826,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n9),
% 3.25/3.39 inference(transitivity,[status(thm)],[825, 287])).
% 3.25/3.39 tff(827,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = sum(n6, n3)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[23, 811])).
% 3.25/3.39 tff(828,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = n9),
% 3.25/3.39 inference(transitivity,[status(thm)],[827, 124])).
% 3.25/3.39 tff(829,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n9)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[828])).
% 3.25/3.39 tff(830,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = n8),
% 3.25/3.39 inference(transitivity,[status(thm)],[829, 169])).
% 3.25/3.39 tff(831,plain,
% 3.25/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n8, n9)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[830, 826])).
% 3.25/3.39 tff(832,plain,
% 3.25/3.39 (Z!0 = n6),
% 3.25/3.39 inference(transitivity,[status(thm)],[38, 831, 126])).
% 3.25/3.39 tff(833,plain,
% 3.25/3.39 ($false),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[160, 832])).
% 3.25/3.39 tff(834,plain,((~(X!2 = n6)) | (~(Y!1 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.39 tff(835,plain,
% 3.25/3.39 (~(X!2 = n6)),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[834, 802])).
% 3.25/3.39 tff(836,plain,
% 3.25/3.39 (sum(X!2, Y!1) = sum(n8, n2)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[123, 802])).
% 3.25/3.39 tff(837,plain,
% 3.25/3.39 (sum(X!2, Y!1) = n10),
% 3.25/3.39 inference(transitivity,[status(thm)],[836, 20])).
% 3.25/3.39 tff(838,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = pred(n10)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[837])).
% 3.25/3.39 tff(839,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = n9),
% 3.25/3.39 inference(transitivity,[status(thm)],[838, 177])).
% 3.25/3.39 tff(840,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n2, n9)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[802, 839])).
% 3.25/3.39 tff(841,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n0),
% 3.25/3.39 inference(transitivity,[status(thm)],[840, 362])).
% 3.25/3.39 tff(842,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = sum(n8, n3)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[123, 811])).
% 3.25/3.39 tff(843,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = n0),
% 3.25/3.39 inference(transitivity,[status(thm)],[842, 45])).
% 3.25/3.39 tff(844,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n0)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[843])).
% 3.25/3.39 tff(845,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = n10),
% 3.25/3.39 inference(transitivity,[status(thm)],[844, 359])).
% 3.25/3.39 tff(846,plain,
% 3.25/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n10, n0)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[845, 841])).
% 3.25/3.39 tff(847,plain,
% 3.25/3.39 (Z!0 = n10),
% 3.25/3.39 inference(transitivity,[status(thm)],[38, 846, 231])).
% 3.25/3.39 tff(848,plain,
% 3.25/3.39 ($false),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[96, 847])).
% 3.25/3.39 tff(849,plain,((~(X!2 = n8)) | (~(Y!1 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.39 tff(850,plain,
% 3.25/3.39 (~(X!2 = n8)),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[849, 802])).
% 3.25/3.39 tff(851,plain,
% 3.25/3.39 (sum(n9, n10) = n8),
% 3.25/3.39 inference(and_elim,[status(thm)],[9])).
% 3.25/3.39 tff(852,plain,
% 3.25/3.39 (sum(X!2, Y!1) = sum(n7, n2)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[47, 802])).
% 3.25/3.39 tff(853,plain,
% 3.25/3.39 (sum(X!2, Y!1) = n9),
% 3.25/3.39 inference(transitivity,[status(thm)],[852, 74])).
% 3.25/3.39 tff(854,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = pred(n9)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[853])).
% 3.25/3.39 tff(855,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = n8),
% 3.25/3.39 inference(transitivity,[status(thm)],[854, 169])).
% 3.25/3.39 tff(856,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n2, n8)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[802, 855])).
% 3.25/3.39 tff(857,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n10),
% 3.25/3.39 inference(transitivity,[status(thm)],[856, 77])).
% 3.25/3.39 tff(858,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = sum(n7, n3)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[47, 811])).
% 3.25/3.39 tff(859,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = n10),
% 3.25/3.39 inference(transitivity,[status(thm)],[858, 121])).
% 3.25/3.39 tff(860,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n10)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[859])).
% 3.25/3.39 tff(861,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = n9),
% 3.25/3.39 inference(transitivity,[status(thm)],[860, 177])).
% 3.25/3.39 tff(862,plain,
% 3.25/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n9, n10)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[861, 857])).
% 3.25/3.39 tff(863,plain,
% 3.25/3.39 (Z!0 = n8),
% 3.25/3.39 inference(transitivity,[status(thm)],[38, 862, 851])).
% 3.25/3.39 tff(864,plain,
% 3.25/3.39 ($false),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[430, 863])).
% 3.25/3.39 tff(865,plain,((~(X!2 = n7)) | (~(Y!1 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.39 tff(866,plain,
% 3.25/3.39 (~(X!2 = n7)),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[865, 802])).
% 3.25/3.39 tff(867,plain,
% 3.25/3.39 (sum(n0, n1) = n1),
% 3.25/3.39 inference(and_elim,[status(thm)],[9])).
% 3.25/3.39 tff(868,plain,
% 3.25/3.39 (sum(X!2, Y!1) = sum(n9, n2)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[103, 802])).
% 3.25/3.39 tff(869,plain,
% 3.25/3.39 (sum(X!2, Y!1) = n0),
% 3.25/3.39 inference(transitivity,[status(thm)],[868, 382])).
% 3.25/3.39 tff(870,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = pred(n0)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[869])).
% 3.25/3.39 tff(871,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = n10),
% 3.25/3.39 inference(transitivity,[status(thm)],[870, 359])).
% 3.25/3.39 tff(872,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n2, n10)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[802, 871])).
% 3.25/3.39 tff(873,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n1),
% 3.25/3.39 inference(transitivity,[status(thm)],[872, 558])).
% 3.25/3.39 tff(874,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = sum(n9, n3)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[103, 811])).
% 3.25/3.39 tff(875,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = n1),
% 3.25/3.39 inference(transitivity,[status(thm)],[874, 11])).
% 3.25/3.39 tff(876,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n1)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[875])).
% 3.25/3.39 tff(877,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = n0),
% 3.25/3.39 inference(transitivity,[status(thm)],[876, 284])).
% 3.25/3.39 tff(878,plain,
% 3.25/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n0, n1)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[877, 873])).
% 3.25/3.39 tff(879,plain,
% 3.25/3.39 (Z!0 = n1),
% 3.25/3.39 inference(transitivity,[status(thm)],[38, 878, 867])).
% 3.25/3.39 tff(880,plain,
% 3.25/3.39 ($false),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[571, 879])).
% 3.25/3.39 tff(881,plain,((~(X!2 = n9)) | (~(Y!1 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.39 tff(882,plain,
% 3.25/3.39 (~(X!2 = n9)),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[881, 802])).
% 3.25/3.39 tff(883,plain,
% 3.25/3.39 (sum(n1, n2) = n3),
% 3.25/3.39 inference(and_elim,[status(thm)],[9])).
% 3.25/3.39 tff(884,plain,
% 3.25/3.39 (sum(n2, n0) = n2),
% 3.25/3.39 inference(and_elim,[status(thm)],[9])).
% 3.25/3.39 tff(885,plain,
% 3.25/3.39 (sum(n10, n2) = n1),
% 3.25/3.39 inference(and_elim,[status(thm)],[9])).
% 3.25/3.39 tff(886,plain,
% 3.25/3.39 (sum(X!2, Y!1) = sum(n10, n2)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[232, 802])).
% 3.25/3.39 tff(887,plain,
% 3.25/3.39 (sum(X!2, Y!1) = n1),
% 3.25/3.39 inference(transitivity,[status(thm)],[886, 885])).
% 3.25/3.39 tff(888,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = pred(n1)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[887])).
% 3.25/3.39 tff(889,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = n0),
% 3.25/3.39 inference(transitivity,[status(thm)],[888, 284])).
% 3.25/3.39 tff(890,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n2, n0)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[802, 889])).
% 3.25/3.39 tff(891,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n2),
% 3.25/3.39 inference(transitivity,[status(thm)],[890, 884])).
% 3.25/3.39 tff(892,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = sum(n10, n3)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[232, 811])).
% 3.25/3.39 tff(893,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = n2),
% 3.25/3.39 inference(transitivity,[status(thm)],[892, 490])).
% 3.25/3.39 tff(894,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n2)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[893])).
% 3.25/3.39 tff(895,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = n1),
% 3.25/3.39 inference(transitivity,[status(thm)],[894, 79])).
% 3.25/3.39 tff(896,plain,
% 3.25/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n1, n2)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[895, 891])).
% 3.25/3.39 tff(897,plain,
% 3.25/3.39 (Z!0 = n3),
% 3.25/3.39 inference(transitivity,[status(thm)],[38, 896, 883])).
% 3.25/3.39 tff(898,plain,
% 3.25/3.39 ($false),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[395, 897])).
% 3.25/3.39 tff(899,plain,((~(X!2 = n10)) | (~(Y!1 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.39 tff(900,plain,
% 3.25/3.39 (~(X!2 = n10)),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[899, 802])).
% 3.25/3.39 tff(901,plain,
% 3.25/3.39 (sum(n2, n5) = n7),
% 3.25/3.39 inference(and_elim,[status(thm)],[9])).
% 3.25/3.39 tff(902,plain,
% 3.25/3.39 (sum(n4, n2) = n6),
% 3.25/3.39 inference(and_elim,[status(thm)],[9])).
% 3.25/3.39 tff(903,plain,
% 3.25/3.39 (sum(X!2, Y!1) = sum(n4, n2)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[524, 802])).
% 3.25/3.39 tff(904,plain,
% 3.25/3.39 (sum(X!2, Y!1) = n6),
% 3.25/3.39 inference(transitivity,[status(thm)],[903, 902])).
% 3.25/3.39 tff(905,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = pred(n6)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[904])).
% 3.25/3.39 tff(906,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = n5),
% 3.25/3.39 inference(transitivity,[status(thm)],[905, 16])).
% 3.25/3.39 tff(907,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n2, n5)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[802, 906])).
% 3.25/3.39 tff(908,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n7),
% 3.25/3.39 inference(transitivity,[status(thm)],[907, 901])).
% 3.25/3.39 tff(909,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = sum(n4, n3)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[524, 811])).
% 3.25/3.39 tff(910,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = n7),
% 3.25/3.39 inference(transitivity,[status(thm)],[909, 523])).
% 3.25/3.39 tff(911,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = pred(n7)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[910])).
% 3.25/3.39 tff(912,plain,
% 3.25/3.39 (pred(sum(X!2, succ(Y!1))) = n6),
% 3.25/3.39 inference(transitivity,[status(thm)],[911, 133])).
% 3.25/3.39 tff(913,plain,
% 3.25/3.39 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n6, n7)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[912, 908])).
% 3.25/3.39 tff(914,plain,
% 3.25/3.39 (Z!0 = n2),
% 3.25/3.39 inference(transitivity,[status(thm)],[38, 913, 80])).
% 3.25/3.39 tff(915,plain,
% 3.25/3.39 ($false),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[40, 914])).
% 3.25/3.39 tff(916,plain,((~(X!2 = n4)) | (~(Y!1 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.39 tff(917,plain,
% 3.25/3.39 (~(X!2 = n4)),
% 3.25/3.39 inference(unit_resolution,[status(thm)],[916, 802])).
% 3.25/3.39 tff(918,plain,
% 3.25/3.39 (sum(n2, n3) = n5),
% 3.25/3.39 inference(and_elim,[status(thm)],[9])).
% 3.25/3.39 tff(919,plain,
% 3.25/3.39 (sum(n2, n2) = n4),
% 3.25/3.39 inference(and_elim,[status(thm)],[9])).
% 3.25/3.39 tff(920,assumption,(X!2 = n2), introduced(assumption)).
% 3.25/3.39 tff(921,plain,
% 3.25/3.39 (sum(X!2, Y!1) = sum(n2, n3)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[920, 436])).
% 3.25/3.39 tff(922,plain,
% 3.25/3.39 (sum(X!2, Y!1) = n5),
% 3.25/3.39 inference(transitivity,[status(thm)],[921, 918])).
% 3.25/3.39 tff(923,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = pred(n5)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[922])).
% 3.25/3.39 tff(924,plain,
% 3.25/3.39 (pred(sum(X!2, Y!1)) = n4),
% 3.25/3.39 inference(transitivity,[status(thm)],[923, 50])).
% 3.25/3.39 tff(925,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n3, n4)),
% 3.25/3.39 inference(monotonicity,[status(thm)],[436, 924])).
% 3.25/3.39 tff(926,plain,
% 3.25/3.39 (sum(Y!1, pred(sum(X!2, Y!1))) = n7),
% 3.25/3.39 inference(transitivity,[status(thm)],[925, 792])).
% 3.25/3.39 tff(927,plain,
% 3.25/3.39 (sum(X!2, succ(Y!1)) = sum(n2, n4)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[920, 446])).
% 3.25/3.40 tff(928,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n6),
% 3.25/3.40 inference(transitivity,[status(thm)],[927, 488])).
% 3.25/3.40 tff(929,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n6)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[928])).
% 3.25/3.40 tff(930,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n5),
% 3.25/3.40 inference(transitivity,[status(thm)],[929, 16])).
% 3.25/3.40 tff(931,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n5, n7)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[930, 926])).
% 3.25/3.40 tff(932,plain,
% 3.25/3.40 (Z!0 = n1),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 931, 417])).
% 3.25/3.40 tff(933,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[571, 932])).
% 3.25/3.40 tff(934,plain,((~(Y!1 = n3)) | (~(X!2 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(935,plain,
% 3.25/3.40 (~(Y!1 = n3)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[934, 920])).
% 3.25/3.40 tff(936,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n2, n6)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[920, 286])).
% 3.25/3.40 tff(937,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[936, 627])).
% 3.25/3.40 tff(938,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n8)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[937])).
% 3.25/3.40 tff(939,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n7),
% 3.25/3.40 inference(transitivity,[status(thm)],[938, 165])).
% 3.25/3.40 tff(940,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n6, n7)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[286, 939])).
% 3.25/3.40 tff(941,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n2),
% 3.25/3.40 inference(transitivity,[status(thm)],[940, 80])).
% 3.25/3.40 tff(942,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n2, n7)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[920, 296])).
% 3.25/3.40 tff(943,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n9),
% 3.25/3.40 inference(transitivity,[status(thm)],[942, 287])).
% 3.25/3.40 tff(944,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n9)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[943])).
% 3.25/3.40 tff(945,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[944, 169])).
% 3.25/3.40 tff(946,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n8, n2)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[945, 941])).
% 3.25/3.40 tff(947,plain,
% 3.25/3.40 (Z!0 = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 946, 20])).
% 3.25/3.40 tff(948,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[96, 947])).
% 3.25/3.40 tff(949,plain,((~(Y!1 = n6)) | (~(X!2 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(950,plain,
% 3.25/3.40 (~(Y!1 = n6)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[949, 920])).
% 3.25/3.40 tff(951,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n2, n7)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[920, 76])).
% 3.25/3.40 tff(952,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n9),
% 3.25/3.40 inference(transitivity,[status(thm)],[951, 287])).
% 3.25/3.40 tff(953,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n9)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[952])).
% 3.25/3.40 tff(954,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[953, 169])).
% 3.25/3.40 tff(955,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n7, n8)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[76, 954])).
% 3.25/3.40 tff(956,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n4),
% 3.25/3.40 inference(transitivity,[status(thm)],[955, 46])).
% 3.25/3.40 tff(957,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n2, n8)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[920, 89])).
% 3.25/3.40 tff(958,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[957, 77])).
% 3.25/3.40 tff(959,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n10)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[958])).
% 3.25/3.40 tff(960,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n9),
% 3.25/3.40 inference(transitivity,[status(thm)],[959, 177])).
% 3.25/3.40 tff(961,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n9, n4)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[960, 956])).
% 3.25/3.40 tff(962,plain,
% 3.25/3.40 (Z!0 = n2),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 961, 49])).
% 3.25/3.40 tff(963,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[40, 962])).
% 3.25/3.40 tff(964,plain,((~(Y!1 = n7)) | (~(X!2 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(965,plain,
% 3.25/3.40 (~(Y!1 = n7)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[964, 920])).
% 3.25/3.40 tff(966,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n2, n8)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[920, 18])).
% 3.25/3.40 tff(967,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[966, 77])).
% 3.25/3.40 tff(968,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n10)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[967])).
% 3.25/3.40 tff(969,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n9),
% 3.25/3.40 inference(transitivity,[status(thm)],[968, 177])).
% 3.25/3.40 tff(970,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n8, n9)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[18, 969])).
% 3.25/3.40 tff(971,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n6),
% 3.25/3.40 inference(transitivity,[status(thm)],[970, 126])).
% 3.25/3.40 tff(972,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n2, n9)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[920, 32])).
% 3.25/3.40 tff(973,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n0),
% 3.25/3.40 inference(transitivity,[status(thm)],[972, 362])).
% 3.25/3.40 tff(974,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n0)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[973])).
% 3.25/3.40 tff(975,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[974, 359])).
% 3.25/3.40 tff(976,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n10, n6)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[975, 971])).
% 3.25/3.40 tff(977,plain,
% 3.25/3.40 (Z!0 = n5),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 976, 325])).
% 3.25/3.40 tff(978,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[116, 977])).
% 3.25/3.40 tff(979,plain,((~(Y!1 = n8)) | (~(X!2 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(980,plain,
% 3.25/3.40 (~(Y!1 = n8)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[979, 920])).
% 3.25/3.40 tff(981,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n2, n9)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[920, 52])).
% 3.25/3.40 tff(982,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n0),
% 3.25/3.40 inference(transitivity,[status(thm)],[981, 362])).
% 3.25/3.40 tff(983,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n0)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[982])).
% 3.25/3.40 tff(984,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[983, 359])).
% 3.25/3.40 tff(985,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n9, n10)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[52, 984])).
% 3.25/3.40 tff(986,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[985, 851])).
% 3.25/3.40 tff(987,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n2, n10)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[920, 62])).
% 3.25/3.40 tff(988,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n1),
% 3.25/3.40 inference(transitivity,[status(thm)],[987, 558])).
% 3.25/3.40 tff(989,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n1)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[988])).
% 3.25/3.40 tff(990,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n0),
% 3.25/3.40 inference(transitivity,[status(thm)],[989, 284])).
% 3.25/3.40 tff(991,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n0, n8)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[990, 986])).
% 3.25/3.40 tff(992,plain,
% 3.25/3.40 (Z!0 = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 991, 168])).
% 3.25/3.40 tff(993,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[430, 992])).
% 3.25/3.40 tff(994,plain,((~(Y!1 = n9)) | (~(X!2 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(995,plain,
% 3.25/3.40 (~(Y!1 = n9)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[994, 920])).
% 3.25/3.40 tff(996,plain,
% 3.25/3.40 (sum(n2, n1) = n3),
% 3.25/3.40 inference(and_elim,[status(thm)],[9])).
% 3.25/3.40 tff(997,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n2, n0)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[920, 167])).
% 3.25/3.40 tff(998,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n2),
% 3.25/3.40 inference(transitivity,[status(thm)],[997, 884])).
% 3.25/3.40 tff(999,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n2)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[998])).
% 3.25/3.40 tff(1000,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n1),
% 3.25/3.40 inference(transitivity,[status(thm)],[999, 79])).
% 3.25/3.40 tff(1001,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n0, n1)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[167, 1000])).
% 3.25/3.40 tff(1002,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n1),
% 3.25/3.40 inference(transitivity,[status(thm)],[1001, 867])).
% 3.25/3.40 tff(1003,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n2, n1)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[920, 181])).
% 3.25/3.40 tff(1004,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n3),
% 3.25/3.40 inference(transitivity,[status(thm)],[1003, 996])).
% 3.25/3.40 tff(1005,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n3)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1004])).
% 3.25/3.40 tff(1006,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n2),
% 3.25/3.40 inference(transitivity,[status(thm)],[1005, 21])).
% 3.25/3.40 tff(1007,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n2, n1)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1006, 1002])).
% 3.25/3.40 tff(1008,plain,
% 3.25/3.40 (Z!0 = n3),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1007, 996])).
% 3.25/3.40 tff(1009,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[395, 1008])).
% 3.25/3.40 tff(1010,plain,((~(Y!1 = n0)) | (~(X!2 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1011,plain,
% 3.25/3.40 (~(Y!1 = n0)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1010, 920])).
% 3.25/3.40 tff(1012,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n2, n5)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[920, 608])).
% 3.25/3.40 tff(1013,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n7),
% 3.25/3.40 inference(transitivity,[status(thm)],[1012, 901])).
% 3.25/3.40 tff(1014,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n7)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1013])).
% 3.25/3.40 tff(1015,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n6),
% 3.25/3.40 inference(transitivity,[status(thm)],[1014, 133])).
% 3.25/3.40 tff(1016,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n5, n6)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[608, 1015])).
% 3.25/3.40 tff(1017,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n0),
% 3.25/3.40 inference(transitivity,[status(thm)],[1016, 360])).
% 3.25/3.40 tff(1018,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n2, n6)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[920, 617])).
% 3.25/3.40 tff(1019,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[1018, 627])).
% 3.25/3.40 tff(1020,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n8)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1019])).
% 3.25/3.40 tff(1021,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n7),
% 3.25/3.40 inference(transitivity,[status(thm)],[1020, 165])).
% 3.25/3.40 tff(1022,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n7, n0)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1021, 1017])).
% 3.25/3.40 tff(1023,plain,
% 3.25/3.40 (Z!0 = n7),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1022, 213])).
% 3.25/3.40 tff(1024,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[69, 1023])).
% 3.25/3.40 tff(1025,plain,((~(Y!1 = n5)) | (~(X!2 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1026,plain,
% 3.25/3.40 (~(Y!1 = n5)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1025, 920])).
% 3.25/3.40 tff(1027,assumption,(Y!1 = n4), introduced(assumption)).
% 3.25/3.40 tff(1028,plain,
% 3.25/3.40 (sum(n4, n4) = n8),
% 3.25/3.40 inference(and_elim,[status(thm)],[9])).
% 3.25/3.40 tff(1029,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n4, n4)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[524, 1027])).
% 3.25/3.40 tff(1030,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[1029, 1028])).
% 3.25/3.40 tff(1031,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n8)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1030])).
% 3.25/3.40 tff(1032,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n7),
% 3.25/3.40 inference(transitivity,[status(thm)],[1031, 165])).
% 3.25/3.40 tff(1033,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n4, n7)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1027, 1032])).
% 3.25/3.40 tff(1034,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n0),
% 3.25/3.40 inference(transitivity,[status(thm)],[1033, 525])).
% 3.25/3.40 tff(1035,plain,
% 3.25/3.40 (succ(n4) = n5),
% 3.25/3.40 inference(and_elim,[status(thm)],[9])).
% 3.25/3.40 tff(1036,plain,
% 3.25/3.40 (succ(Y!1) = succ(n4)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1027])).
% 3.25/3.40 tff(1037,plain,
% 3.25/3.40 (succ(Y!1) = n5),
% 3.25/3.40 inference(transitivity,[status(thm)],[1036, 1035])).
% 3.25/3.40 tff(1038,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n4, n5)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[524, 1037])).
% 3.25/3.40 tff(1039,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n9),
% 3.25/3.40 inference(transitivity,[status(thm)],[1038, 607])).
% 3.25/3.40 tff(1040,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n9)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1039])).
% 3.25/3.40 tff(1041,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[1040, 169])).
% 3.25/3.40 tff(1042,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n8, n0)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1041, 1034])).
% 3.25/3.40 tff(1043,plain,
% 3.25/3.40 (Z!0 = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1042, 166])).
% 3.25/3.40 tff(1044,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[430, 1043])).
% 3.25/3.40 tff(1045,plain,((~(X!2 = n4)) | (~(Y!1 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1046,plain,
% 3.25/3.40 (~(X!2 = n4)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1045, 1027])).
% 3.25/3.40 tff(1047,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n5, n4)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[361, 1027])).
% 3.25/3.40 tff(1048,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n9),
% 3.25/3.40 inference(transitivity,[status(thm)],[1047, 399])).
% 3.25/3.40 tff(1049,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n9)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1048])).
% 3.25/3.40 tff(1050,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[1049, 169])).
% 3.25/3.40 tff(1051,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n4, n8)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1027, 1050])).
% 3.25/3.40 tff(1052,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n1),
% 3.25/3.40 inference(transitivity,[status(thm)],[1051, 532])).
% 3.25/3.40 tff(1053,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n5, n5)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[361, 1037])).
% 3.25/3.40 tff(1054,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[1053, 690])).
% 3.25/3.40 tff(1055,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n10)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1054])).
% 3.25/3.40 tff(1056,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n9),
% 3.25/3.40 inference(transitivity,[status(thm)],[1055, 177])).
% 3.25/3.40 tff(1057,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n9, n1)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1056, 1052])).
% 3.25/3.40 tff(1058,plain,
% 3.25/3.40 (Z!0 = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1057, 178])).
% 3.25/3.40 tff(1059,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[96, 1058])).
% 3.25/3.40 tff(1060,plain,((~(X!2 = n5)) | (~(Y!1 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1061,plain,
% 3.25/3.40 (~(X!2 = n5)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1060, 1027])).
% 3.25/3.40 tff(1062,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n6, n4)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[23, 1027])).
% 3.25/3.40 tff(1063,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[1062, 324])).
% 3.25/3.40 tff(1064,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n10)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1063])).
% 3.25/3.40 tff(1065,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n9),
% 3.25/3.40 inference(transitivity,[status(thm)],[1064, 177])).
% 3.25/3.40 tff(1066,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n4, n9)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1027, 1065])).
% 3.25/3.40 tff(1067,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n2),
% 3.25/3.40 inference(transitivity,[status(thm)],[1066, 306])).
% 3.25/3.40 tff(1068,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n6, n5)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[23, 1037])).
% 3.25/3.40 tff(1069,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n0),
% 3.25/3.40 inference(transitivity,[status(thm)],[1068, 191])).
% 3.25/3.40 tff(1070,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n0)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1069])).
% 3.25/3.40 tff(1071,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[1070, 359])).
% 3.25/3.40 tff(1072,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n10, n2)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1071, 1067])).
% 3.25/3.40 tff(1073,plain,
% 3.25/3.40 (Z!0 = n1),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1072, 885])).
% 3.25/3.40 tff(1074,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[571, 1073])).
% 3.25/3.40 tff(1075,plain,((~(X!2 = n6)) | (~(Y!1 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1076,plain,
% 3.25/3.40 (~(X!2 = n6)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1075, 1027])).
% 3.25/3.40 tff(1077,plain,
% 3.25/3.40 (sum(n1, n4) = n5),
% 3.25/3.40 inference(and_elim,[status(thm)],[9])).
% 3.25/3.40 tff(1078,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n8, n4)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[123, 1027])).
% 3.25/3.40 tff(1079,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n1),
% 3.25/3.40 inference(transitivity,[status(thm)],[1078, 146])).
% 3.25/3.40 tff(1080,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n1)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1079])).
% 3.25/3.40 tff(1081,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n0),
% 3.25/3.40 inference(transitivity,[status(thm)],[1080, 284])).
% 3.25/3.40 tff(1082,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n4, n0)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1027, 1081])).
% 3.25/3.40 tff(1083,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n4),
% 3.25/3.40 inference(transitivity,[status(thm)],[1082, 44])).
% 3.25/3.40 tff(1084,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n8, n5)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[123, 1037])).
% 3.25/3.40 tff(1085,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n2),
% 3.25/3.40 inference(transitivity,[status(thm)],[1084, 15])).
% 3.25/3.40 tff(1086,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n2)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1085])).
% 3.25/3.40 tff(1087,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n1),
% 3.25/3.40 inference(transitivity,[status(thm)],[1086, 79])).
% 3.25/3.40 tff(1088,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n1, n4)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1087, 1083])).
% 3.25/3.40 tff(1089,plain,
% 3.25/3.40 (Z!0 = n5),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1088, 1077])).
% 3.25/3.40 tff(1090,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[116, 1089])).
% 3.25/3.40 tff(1091,plain,((~(X!2 = n8)) | (~(Y!1 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1092,plain,
% 3.25/3.40 (~(X!2 = n8)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1091, 1027])).
% 3.25/3.40 tff(1093,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n7, n4)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[47, 1027])).
% 3.25/3.40 tff(1094,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n0),
% 3.25/3.40 inference(transitivity,[status(thm)],[1093, 101])).
% 3.25/3.40 tff(1095,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n0)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1094])).
% 3.25/3.40 tff(1096,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[1095, 359])).
% 3.25/3.40 tff(1097,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n4, n10)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1027, 1096])).
% 3.25/3.40 tff(1098,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n3),
% 3.25/3.40 inference(transitivity,[status(thm)],[1097, 120])).
% 3.25/3.40 tff(1099,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n7, n5)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[47, 1037])).
% 3.25/3.40 tff(1100,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n1),
% 3.25/3.40 inference(transitivity,[status(thm)],[1099, 266])).
% 3.25/3.40 tff(1101,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n1)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1100])).
% 3.25/3.40 tff(1102,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n0),
% 3.25/3.40 inference(transitivity,[status(thm)],[1101, 284])).
% 3.25/3.40 tff(1103,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n0, n3)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1102, 1098])).
% 3.25/3.40 tff(1104,plain,
% 3.25/3.40 (Z!0 = n3),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1103, 575])).
% 3.25/3.40 tff(1105,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[395, 1104])).
% 3.25/3.40 tff(1106,plain,((~(X!2 = n7)) | (~(Y!1 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1107,plain,
% 3.25/3.40 (~(X!2 = n7)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1106, 1027])).
% 3.25/3.40 tff(1108,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n9, n4)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[103, 1027])).
% 3.25/3.40 tff(1109,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n2),
% 3.25/3.40 inference(transitivity,[status(thm)],[1108, 49])).
% 3.25/3.40 tff(1110,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n2)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1109])).
% 3.25/3.40 tff(1111,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n1),
% 3.25/3.40 inference(transitivity,[status(thm)],[1110, 79])).
% 3.25/3.40 tff(1112,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n4, n1)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1027, 1111])).
% 3.25/3.40 tff(1113,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n5),
% 3.25/3.40 inference(transitivity,[status(thm)],[1112, 10])).
% 3.25/3.40 tff(1114,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n9, n5)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[103, 1037])).
% 3.25/3.40 tff(1115,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n3),
% 3.25/3.40 inference(transitivity,[status(thm)],[1114, 125])).
% 3.25/3.40 tff(1116,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n3)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1115])).
% 3.25/3.40 tff(1117,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n2),
% 3.25/3.40 inference(transitivity,[status(thm)],[1116, 21])).
% 3.25/3.40 tff(1118,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n2, n5)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1117, 1113])).
% 3.25/3.40 tff(1119,plain,
% 3.25/3.40 (Z!0 = n7),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1118, 901])).
% 3.25/3.40 tff(1120,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[69, 1119])).
% 3.25/3.40 tff(1121,plain,((~(X!2 = n9)) | (~(Y!1 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1122,plain,
% 3.25/3.40 (~(X!2 = n9)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1121, 1027])).
% 3.25/3.40 tff(1123,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n10, n4)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[232, 1027])).
% 3.25/3.40 tff(1124,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n3),
% 3.25/3.40 inference(transitivity,[status(thm)],[1123, 497])).
% 3.25/3.40 tff(1125,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n3)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1124])).
% 3.25/3.40 tff(1126,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n2),
% 3.25/3.40 inference(transitivity,[status(thm)],[1125, 21])).
% 3.25/3.40 tff(1127,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n4, n2)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1027, 1126])).
% 3.25/3.40 tff(1128,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n6),
% 3.25/3.40 inference(transitivity,[status(thm)],[1127, 902])).
% 3.25/3.40 tff(1129,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n10, n5)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[232, 1037])).
% 3.25/3.40 tff(1130,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n4),
% 3.25/3.40 inference(transitivity,[status(thm)],[1129, 674])).
% 3.25/3.40 tff(1131,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n4)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1130])).
% 3.25/3.40 tff(1132,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n3),
% 3.25/3.40 inference(transitivity,[status(thm)],[1131, 12])).
% 3.25/3.40 tff(1133,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n3, n6)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1132, 1128])).
% 3.25/3.40 tff(1134,plain,
% 3.25/3.40 (Z!0 = n9),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1133, 522])).
% 3.25/3.40 tff(1135,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[141, 1134])).
% 3.25/3.40 tff(1136,plain,((~(X!2 = n10)) | (~(Y!1 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1137,plain,
% 3.25/3.40 (~(X!2 = n10)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1136, 1027])).
% 3.25/3.40 tff(1138,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n3, n4)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[707, 1027])).
% 3.25/3.40 tff(1139,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n7),
% 3.25/3.40 inference(transitivity,[status(thm)],[1138, 792])).
% 3.25/3.40 tff(1140,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n7)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1139])).
% 3.25/3.40 tff(1141,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n6),
% 3.25/3.40 inference(transitivity,[status(thm)],[1140, 133])).
% 3.25/3.40 tff(1142,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n4, n6)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1027, 1141])).
% 3.25/3.40 tff(1143,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[1142, 591])).
% 3.25/3.40 tff(1144,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n3, n5)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[707, 1037])).
% 3.25/3.40 tff(1145,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[1144, 706])).
% 3.25/3.40 tff(1146,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n8)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1145])).
% 3.25/3.40 tff(1147,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n7),
% 3.25/3.40 inference(transitivity,[status(thm)],[1146, 165])).
% 3.25/3.40 tff(1148,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n7, n10)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1147, 1143])).
% 3.25/3.40 tff(1149,plain,
% 3.25/3.40 (Z!0 = n6),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1148, 59])).
% 3.25/3.40 tff(1150,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[160, 1149])).
% 3.25/3.40 tff(1151,plain,((~(X!2 = n3)) | (~(Y!1 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1152,plain,
% 3.25/3.40 (~(X!2 = n3)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1151, 1027])).
% 3.25/3.40 tff(1153,assumption,(X!2 = n1), introduced(assumption)).
% 3.25/3.40 tff(1154,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n1, n5)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1153, 608])).
% 3.25/3.40 tff(1155,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n6),
% 3.25/3.40 inference(transitivity,[status(thm)],[1154, 643])).
% 3.25/3.40 tff(1156,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n6)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1155])).
% 3.25/3.40 tff(1157,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n5),
% 3.25/3.40 inference(transitivity,[status(thm)],[1156, 16])).
% 3.25/3.40 tff(1158,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n5, n5)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[608, 1157])).
% 3.25/3.40 tff(1159,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[1158, 690])).
% 3.25/3.40 tff(1160,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n1, n6)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1153, 617])).
% 3.25/3.40 tff(1161,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n7),
% 3.25/3.40 inference(transitivity,[status(thm)],[1160, 283])).
% 3.25/3.40 tff(1162,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n7)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1161])).
% 3.25/3.40 tff(1163,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n6),
% 3.25/3.40 inference(transitivity,[status(thm)],[1162, 133])).
% 3.25/3.40 tff(1164,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n6, n10)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1163, 1159])).
% 3.25/3.40 tff(1165,plain,
% 3.25/3.40 (Z!0 = n5),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1164, 358])).
% 3.25/3.40 tff(1166,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[116, 1165])).
% 3.25/3.40 tff(1167,plain,((~(Y!1 = n5)) | (~(X!2 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1168,plain,
% 3.25/3.40 (~(Y!1 = n5)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1167, 1153])).
% 3.25/3.40 tff(1169,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n1, n3)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1153, 436])).
% 3.25/3.40 tff(1170,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n4),
% 3.25/3.40 inference(transitivity,[status(thm)],[1169, 472])).
% 3.25/3.40 tff(1171,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n4)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1170])).
% 3.25/3.40 tff(1172,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n3),
% 3.25/3.40 inference(transitivity,[status(thm)],[1171, 12])).
% 3.25/3.40 tff(1173,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n3, n3)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[436, 1172])).
% 3.25/3.40 tff(1174,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n6),
% 3.25/3.40 inference(transitivity,[status(thm)],[1173, 785])).
% 3.25/3.40 tff(1175,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n1, n4)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1153, 446])).
% 3.25/3.40 tff(1176,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n5),
% 3.25/3.40 inference(transitivity,[status(thm)],[1175, 1077])).
% 3.25/3.40 tff(1177,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n5)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1176])).
% 3.25/3.40 tff(1178,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n4),
% 3.25/3.40 inference(transitivity,[status(thm)],[1177, 50])).
% 3.25/3.40 tff(1179,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n4, n6)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1178, 1174])).
% 3.25/3.40 tff(1180,plain,
% 3.25/3.40 (Z!0 = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1179, 591])).
% 3.25/3.40 tff(1181,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[96, 1180])).
% 3.25/3.40 tff(1182,plain,((~(Y!1 = n3)) | (~(X!2 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1183,plain,
% 3.25/3.40 (~(Y!1 = n3)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1182, 1153])).
% 3.25/3.40 tff(1184,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n1, n6)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1153, 286])).
% 3.25/3.40 tff(1185,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n7),
% 3.25/3.40 inference(transitivity,[status(thm)],[1184, 283])).
% 3.25/3.40 tff(1186,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n7)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1185])).
% 3.25/3.40 tff(1187,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n6),
% 3.25/3.40 inference(transitivity,[status(thm)],[1186, 133])).
% 3.25/3.40 tff(1188,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n6, n6)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[286, 1187])).
% 3.25/3.40 tff(1189,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n1),
% 3.25/3.40 inference(transitivity,[status(thm)],[1188, 285])).
% 3.25/3.40 tff(1190,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n1, n7)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1153, 296])).
% 3.25/3.40 tff(1191,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[1190, 416])).
% 3.25/3.40 tff(1192,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n8)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1191])).
% 3.25/3.40 tff(1193,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n7),
% 3.25/3.40 inference(transitivity,[status(thm)],[1192, 165])).
% 3.25/3.40 tff(1194,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n7, n1)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1193, 1189])).
% 3.25/3.40 tff(1195,plain,
% 3.25/3.40 (Z!0 = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1194, 78])).
% 3.25/3.40 tff(1196,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[430, 1195])).
% 3.25/3.40 tff(1197,plain,((~(Y!1 = n6)) | (~(X!2 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1198,plain,
% 3.25/3.40 (~(Y!1 = n6)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1197, 1153])).
% 3.25/3.40 tff(1199,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n1, n7)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1153, 76])).
% 3.25/3.40 tff(1200,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[1199, 416])).
% 3.25/3.40 tff(1201,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n8)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1200])).
% 3.25/3.40 tff(1202,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n7),
% 3.25/3.40 inference(transitivity,[status(thm)],[1201, 165])).
% 3.25/3.40 tff(1203,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n7, n7)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[76, 1202])).
% 3.25/3.40 tff(1204,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n3),
% 3.25/3.40 inference(transitivity,[status(thm)],[1203, 75])).
% 3.25/3.40 tff(1205,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n1, n8)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1153, 89])).
% 3.25/3.40 tff(1206,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n9),
% 3.25/3.40 inference(transitivity,[status(thm)],[1205, 542])).
% 3.25/3.40 tff(1207,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n9)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1206])).
% 3.25/3.40 tff(1208,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[1207, 169])).
% 3.25/3.40 tff(1209,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n8, n3)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1208, 1204])).
% 3.25/3.40 tff(1210,plain,
% 3.25/3.40 (Z!0 = n0),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1209, 45])).
% 3.25/3.40 tff(1211,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[207, 1210])).
% 3.25/3.40 tff(1212,plain,((~(Y!1 = n7)) | (~(X!2 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1213,plain,
% 3.25/3.40 (~(Y!1 = n7)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1212, 1153])).
% 3.25/3.40 tff(1214,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n1, n8)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1153, 18])).
% 3.25/3.40 tff(1215,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n9),
% 3.25/3.40 inference(transitivity,[status(thm)],[1214, 542])).
% 3.25/3.40 tff(1216,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n9)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1215])).
% 3.25/3.40 tff(1217,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n8),
% 3.25/3.40 inference(transitivity,[status(thm)],[1216, 169])).
% 3.25/3.40 tff(1218,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n8, n8)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[18, 1217])).
% 3.25/3.40 tff(1219,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n5),
% 3.25/3.40 inference(transitivity,[status(thm)],[1218, 147])).
% 3.25/3.40 tff(1220,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n1, n9)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1153, 32])).
% 3.25/3.40 tff(1221,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[1220, 753])).
% 3.25/3.40 tff(1222,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n10)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1221])).
% 3.25/3.40 tff(1223,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n9),
% 3.25/3.40 inference(transitivity,[status(thm)],[1222, 177])).
% 3.25/3.40 tff(1224,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n9, n5)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1223, 1219])).
% 3.25/3.40 tff(1225,plain,
% 3.25/3.40 (Z!0 = n3),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1224, 125])).
% 3.25/3.40 tff(1226,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[395, 1225])).
% 3.25/3.40 tff(1227,plain,((~(Y!1 = n8)) | (~(X!2 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1228,plain,
% 3.25/3.40 (~(Y!1 = n8)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1227, 1153])).
% 3.25/3.40 tff(1229,plain,
% 3.25/3.40 (sum(n9, n9) = n7),
% 3.25/3.40 inference(and_elim,[status(thm)],[9])).
% 3.25/3.40 tff(1230,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n1, n9)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1153, 52])).
% 3.25/3.40 tff(1231,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[1230, 753])).
% 3.25/3.40 tff(1232,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n10)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1231])).
% 3.25/3.40 tff(1233,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n9),
% 3.25/3.40 inference(transitivity,[status(thm)],[1232, 177])).
% 3.25/3.40 tff(1234,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n9, n9)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[52, 1233])).
% 3.25/3.40 tff(1235,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n7),
% 3.25/3.40 inference(transitivity,[status(thm)],[1234, 1229])).
% 3.25/3.40 tff(1236,plain,
% 3.25/3.40 (sum(n1, n10) = n0),
% 3.25/3.40 inference(and_elim,[status(thm)],[9])).
% 3.25/3.40 tff(1237,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n1, n10)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1153, 62])).
% 3.25/3.40 tff(1238,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n0),
% 3.25/3.40 inference(transitivity,[status(thm)],[1237, 1236])).
% 3.25/3.40 tff(1239,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = pred(n0)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1238])).
% 3.25/3.40 tff(1240,plain,
% 3.25/3.40 (pred(sum(X!2, succ(Y!1))) = n10),
% 3.25/3.40 inference(transitivity,[status(thm)],[1239, 359])).
% 3.25/3.40 tff(1241,plain,
% 3.25/3.40 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n10, n7)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1240, 1235])).
% 3.25/3.40 tff(1242,plain,
% 3.25/3.40 (Z!0 = n6),
% 3.25/3.40 inference(transitivity,[status(thm)],[38, 1241, 267])).
% 3.25/3.40 tff(1243,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[160, 1242])).
% 3.25/3.40 tff(1244,plain,((~(Y!1 = n9)) | (~(X!2 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(1245,plain,
% 3.25/3.40 (~(Y!1 = n9)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1244, 1153])).
% 3.25/3.40 tff(1246,plain,
% 3.25/3.40 (sum(n1, n0) = n1),
% 3.25/3.40 inference(and_elim,[status(thm)],[9])).
% 3.25/3.40 tff(1247,plain,
% 3.25/3.40 (sum(n0, n0) = n0),
% 3.25/3.40 inference(and_elim,[status(thm)],[9])).
% 3.25/3.40 tff(1248,plain,
% 3.25/3.40 (sum(X!2, Y!1) = sum(n1, n0)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1153, 167])).
% 3.25/3.40 tff(1249,plain,
% 3.25/3.40 (sum(X!2, Y!1) = n1),
% 3.25/3.40 inference(transitivity,[status(thm)],[1248, 1246])).
% 3.25/3.40 tff(1250,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = pred(n1)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1249])).
% 3.25/3.40 tff(1251,plain,
% 3.25/3.40 (pred(sum(X!2, Y!1)) = n0),
% 3.25/3.40 inference(transitivity,[status(thm)],[1250, 284])).
% 3.25/3.40 tff(1252,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n0, n0)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[167, 1251])).
% 3.25/3.40 tff(1253,plain,
% 3.25/3.40 (sum(Y!1, pred(sum(X!2, Y!1))) = n0),
% 3.25/3.40 inference(transitivity,[status(thm)],[1252, 1247])).
% 3.25/3.40 tff(1254,plain,
% 3.25/3.40 (sum(n1, n1) = n2),
% 3.25/3.40 inference(and_elim,[status(thm)],[9])).
% 3.25/3.40 tff(1255,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = sum(n1, n1)),
% 3.25/3.40 inference(monotonicity,[status(thm)],[1153, 181])).
% 3.25/3.40 tff(1256,plain,
% 3.25/3.40 (sum(X!2, succ(Y!1)) = n2),
% 3.25/3.40 inference(transitivity,[status(thm)],[1255, 1254])).
% 3.25/3.41 tff(1257,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1256])).
% 3.25/3.41 tff(1258,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n1),
% 3.25/3.41 inference(transitivity,[status(thm)],[1257, 79])).
% 3.25/3.41 tff(1259,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n1, n0)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1258, 1253])).
% 3.25/3.41 tff(1260,plain,
% 3.25/3.41 (Z!0 = n1),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1259, 1246])).
% 3.25/3.41 tff(1261,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[571, 1260])).
% 3.25/3.41 tff(1262,plain,((~(Y!1 = n0)) | (~(X!2 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1263,plain,
% 3.25/3.41 (~(Y!1 = n0)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1262, 1153])).
% 3.25/3.41 tff(1264,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n1, n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1153, 802])).
% 3.25/3.41 tff(1265,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n3),
% 3.25/3.41 inference(transitivity,[status(thm)],[1264, 883])).
% 3.25/3.41 tff(1266,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n3)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1265])).
% 3.25/3.41 tff(1267,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n2),
% 3.25/3.41 inference(transitivity,[status(thm)],[1266, 21])).
% 3.25/3.41 tff(1268,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n2, n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[802, 1267])).
% 3.25/3.41 tff(1269,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n4),
% 3.25/3.41 inference(transitivity,[status(thm)],[1268, 919])).
% 3.25/3.41 tff(1270,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n1, n3)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1153, 811])).
% 3.25/3.41 tff(1271,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n4),
% 3.25/3.41 inference(transitivity,[status(thm)],[1270, 472])).
% 3.25/3.41 tff(1272,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n4)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1271])).
% 3.25/3.41 tff(1273,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n3),
% 3.25/3.41 inference(transitivity,[status(thm)],[1272, 12])).
% 3.25/3.41 tff(1274,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n3, n4)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1273, 1269])).
% 3.25/3.41 tff(1275,plain,
% 3.25/3.41 (Z!0 = n7),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1274, 792])).
% 3.25/3.41 tff(1276,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[69, 1275])).
% 3.25/3.41 tff(1277,plain,((~(Y!1 = n2)) | (~(X!2 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1278,plain,
% 3.25/3.41 (~(Y!1 = n2)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1277, 1153])).
% 3.25/3.41 tff(1279,assumption,(Y!1 = n1), introduced(assumption)).
% 3.25/3.41 tff(1280,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n3, n1)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[707, 1279])).
% 3.25/3.41 tff(1281,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n4),
% 3.25/3.41 inference(transitivity,[status(thm)],[1280, 489])).
% 3.25/3.41 tff(1282,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n4)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1281])).
% 3.25/3.41 tff(1283,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n3),
% 3.25/3.41 inference(transitivity,[status(thm)],[1282, 12])).
% 3.25/3.41 tff(1284,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n1, n3)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1279, 1283])).
% 3.25/3.41 tff(1285,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n4),
% 3.25/3.41 inference(transitivity,[status(thm)],[1284, 472])).
% 3.25/3.41 tff(1286,plain,
% 3.25/3.41 (succ(n1) = n2),
% 3.25/3.41 inference(and_elim,[status(thm)],[9])).
% 3.25/3.41 tff(1287,plain,
% 3.25/3.41 (succ(Y!1) = succ(n1)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1279])).
% 3.25/3.41 tff(1288,plain,
% 3.25/3.41 (succ(Y!1) = n2),
% 3.25/3.41 inference(transitivity,[status(thm)],[1287, 1286])).
% 3.25/3.41 tff(1289,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n3, n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[707, 1288])).
% 3.25/3.41 tff(1290,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n5),
% 3.25/3.41 inference(transitivity,[status(thm)],[1289, 769])).
% 3.25/3.41 tff(1291,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n5)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1290])).
% 3.25/3.41 tff(1292,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n4),
% 3.25/3.41 inference(transitivity,[status(thm)],[1291, 50])).
% 3.25/3.41 tff(1293,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n4, n4)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1292, 1285])).
% 3.25/3.41 tff(1294,plain,
% 3.25/3.41 (Z!0 = n8),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1293, 1028])).
% 3.25/3.41 tff(1295,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[430, 1294])).
% 3.25/3.41 tff(1296,plain,((~(X!2 = n3)) | (~(Y!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1297,plain,
% 3.25/3.41 (~(X!2 = n3)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1296, 1279])).
% 3.25/3.41 tff(1298,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n4, n1)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[524, 1279])).
% 3.25/3.41 tff(1299,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n5),
% 3.25/3.41 inference(transitivity,[status(thm)],[1298, 10])).
% 3.25/3.41 tff(1300,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n5)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1299])).
% 3.25/3.41 tff(1301,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n4),
% 3.25/3.41 inference(transitivity,[status(thm)],[1300, 50])).
% 3.25/3.41 tff(1302,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n1, n4)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1279, 1301])).
% 3.25/3.41 tff(1303,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n5),
% 3.25/3.41 inference(transitivity,[status(thm)],[1302, 1077])).
% 3.25/3.41 tff(1304,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n4, n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[524, 1288])).
% 3.25/3.41 tff(1305,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n6),
% 3.25/3.41 inference(transitivity,[status(thm)],[1304, 902])).
% 3.25/3.41 tff(1306,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n6)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1305])).
% 3.25/3.41 tff(1307,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n5),
% 3.25/3.41 inference(transitivity,[status(thm)],[1306, 16])).
% 3.25/3.41 tff(1308,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n5, n5)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1307, 1303])).
% 3.25/3.41 tff(1309,plain,
% 3.25/3.41 (Z!0 = n10),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1308, 690])).
% 3.25/3.41 tff(1310,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[96, 1309])).
% 3.25/3.41 tff(1311,plain,((~(X!2 = n4)) | (~(Y!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1312,plain,
% 3.25/3.41 (~(X!2 = n4)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1311, 1279])).
% 3.25/3.41 tff(1313,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n5, n1)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[361, 1279])).
% 3.25/3.41 tff(1314,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n6),
% 3.25/3.41 inference(transitivity,[status(thm)],[1313, 145])).
% 3.25/3.41 tff(1315,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n6)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1314])).
% 3.25/3.41 tff(1316,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n5),
% 3.25/3.41 inference(transitivity,[status(thm)],[1315, 16])).
% 3.25/3.41 tff(1317,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n1, n5)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1279, 1316])).
% 3.25/3.41 tff(1318,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n6),
% 3.25/3.41 inference(transitivity,[status(thm)],[1317, 643])).
% 3.25/3.41 tff(1319,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n5, n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[361, 1288])).
% 3.25/3.41 tff(1320,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n7),
% 3.25/3.41 inference(transitivity,[status(thm)],[1319, 48])).
% 3.25/3.41 tff(1321,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n7)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1320])).
% 3.25/3.41 tff(1322,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n6),
% 3.25/3.41 inference(transitivity,[status(thm)],[1321, 133])).
% 3.25/3.41 tff(1323,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n6, n6)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1322, 1318])).
% 3.25/3.41 tff(1324,plain,
% 3.25/3.41 (Z!0 = n1),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1323, 285])).
% 3.25/3.41 tff(1325,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[571, 1324])).
% 3.25/3.41 tff(1326,plain,((~(X!2 = n5)) | (~(Y!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1327,plain,
% 3.25/3.41 (~(X!2 = n5)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1326, 1279])).
% 3.25/3.41 tff(1328,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n6, n1)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[23, 1279])).
% 3.25/3.41 tff(1329,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n7),
% 3.25/3.41 inference(transitivity,[status(thm)],[1328, 200])).
% 3.25/3.41 tff(1330,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n7)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1329])).
% 3.25/3.41 tff(1331,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n6),
% 3.25/3.41 inference(transitivity,[status(thm)],[1330, 133])).
% 3.25/3.41 tff(1332,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n1, n6)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1279, 1331])).
% 3.25/3.41 tff(1333,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n7),
% 3.25/3.41 inference(transitivity,[status(thm)],[1332, 283])).
% 3.25/3.41 tff(1334,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n6, n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[23, 1288])).
% 3.25/3.41 tff(1335,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n8),
% 3.25/3.41 inference(transitivity,[status(thm)],[1334, 14])).
% 3.25/3.41 tff(1336,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n8)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1335])).
% 3.25/3.41 tff(1337,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n7),
% 3.25/3.41 inference(transitivity,[status(thm)],[1336, 165])).
% 3.25/3.41 tff(1338,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n7, n7)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1337, 1333])).
% 3.25/3.41 tff(1339,plain,
% 3.25/3.41 (Z!0 = n3),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1338, 75])).
% 3.25/3.41 tff(1340,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[395, 1339])).
% 3.25/3.41 tff(1341,plain,((~(X!2 = n6)) | (~(Y!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1342,plain,
% 3.25/3.41 (~(X!2 = n6)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1341, 1279])).
% 3.25/3.41 tff(1343,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n8, n1)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[123, 1279])).
% 3.25/3.41 tff(1344,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n9),
% 3.25/3.41 inference(transitivity,[status(thm)],[1343, 363])).
% 3.25/3.41 tff(1345,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n9)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1344])).
% 3.25/3.41 tff(1346,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n8),
% 3.25/3.41 inference(transitivity,[status(thm)],[1345, 169])).
% 3.25/3.41 tff(1347,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n1, n8)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1279, 1346])).
% 3.25/3.41 tff(1348,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n9),
% 3.25/3.41 inference(transitivity,[status(thm)],[1347, 542])).
% 3.25/3.41 tff(1349,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n8, n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[123, 1288])).
% 3.25/3.41 tff(1350,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n10),
% 3.25/3.41 inference(transitivity,[status(thm)],[1349, 20])).
% 3.25/3.41 tff(1351,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n10)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1350])).
% 3.25/3.41 tff(1352,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n9),
% 3.25/3.41 inference(transitivity,[status(thm)],[1351, 177])).
% 3.25/3.41 tff(1353,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n9, n9)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1352, 1348])).
% 3.25/3.41 tff(1354,plain,
% 3.25/3.41 (Z!0 = n7),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1353, 1229])).
% 3.25/3.41 tff(1355,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[69, 1354])).
% 3.25/3.41 tff(1356,plain,((~(X!2 = n8)) | (~(Y!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1357,plain,
% 3.25/3.41 (~(X!2 = n8)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1356, 1279])).
% 3.25/3.41 tff(1358,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n7, n1)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[47, 1279])).
% 3.25/3.41 tff(1359,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n8),
% 3.25/3.41 inference(transitivity,[status(thm)],[1358, 78])).
% 3.25/3.41 tff(1360,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n8)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1359])).
% 3.25/3.41 tff(1361,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n7),
% 3.25/3.41 inference(transitivity,[status(thm)],[1360, 165])).
% 3.25/3.41 tff(1362,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n1, n7)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1279, 1361])).
% 3.25/3.41 tff(1363,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n8),
% 3.25/3.41 inference(transitivity,[status(thm)],[1362, 416])).
% 3.25/3.41 tff(1364,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n7, n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[47, 1288])).
% 3.25/3.41 tff(1365,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n9),
% 3.25/3.41 inference(transitivity,[status(thm)],[1364, 74])).
% 3.25/3.41 tff(1366,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n9)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1365])).
% 3.25/3.41 tff(1367,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n8),
% 3.25/3.41 inference(transitivity,[status(thm)],[1366, 169])).
% 3.25/3.41 tff(1368,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n8, n8)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1367, 1363])).
% 3.25/3.41 tff(1369,plain,
% 3.25/3.41 (Z!0 = n5),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1368, 147])).
% 3.25/3.41 tff(1370,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[116, 1369])).
% 3.25/3.41 tff(1371,plain,((~(X!2 = n7)) | (~(Y!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1372,plain,
% 3.25/3.41 (~(X!2 = n7)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1371, 1279])).
% 3.25/3.41 tff(1373,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n9, n1)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[103, 1279])).
% 3.25/3.41 tff(1374,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n10),
% 3.25/3.41 inference(transitivity,[status(thm)],[1373, 178])).
% 3.25/3.41 tff(1375,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n10)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1374])).
% 3.25/3.41 tff(1376,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n9),
% 3.25/3.41 inference(transitivity,[status(thm)],[1375, 177])).
% 3.25/3.41 tff(1377,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n1, n9)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1279, 1376])).
% 3.25/3.41 tff(1378,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n10),
% 3.25/3.41 inference(transitivity,[status(thm)],[1377, 753])).
% 3.25/3.41 tff(1379,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n9, n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[103, 1288])).
% 3.25/3.41 tff(1380,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n0),
% 3.25/3.41 inference(transitivity,[status(thm)],[1379, 382])).
% 3.25/3.41 tff(1381,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n0)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1380])).
% 3.25/3.41 tff(1382,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n10),
% 3.25/3.41 inference(transitivity,[status(thm)],[1381, 359])).
% 3.25/3.41 tff(1383,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n10, n10)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1382, 1378])).
% 3.25/3.41 tff(1384,plain,
% 3.25/3.41 (Z!0 = n9),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1383, 256])).
% 3.25/3.41 tff(1385,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[141, 1384])).
% 3.25/3.41 tff(1386,plain,((~(X!2 = n9)) | (~(Y!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1387,plain,
% 3.25/3.41 (~(X!2 = n9)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1386, 1279])).
% 3.25/3.41 tff(1388,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n10, n1)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[232, 1279])).
% 3.25/3.41 tff(1389,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n0),
% 3.25/3.41 inference(transitivity,[status(thm)],[1388, 456])).
% 3.25/3.41 tff(1390,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n0)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1389])).
% 3.25/3.41 tff(1391,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n10),
% 3.25/3.41 inference(transitivity,[status(thm)],[1390, 359])).
% 3.25/3.41 tff(1392,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n1, n10)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1279, 1391])).
% 3.25/3.41 tff(1393,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n0),
% 3.25/3.41 inference(transitivity,[status(thm)],[1392, 1236])).
% 3.25/3.41 tff(1394,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n10, n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[232, 1288])).
% 3.25/3.41 tff(1395,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n1),
% 3.25/3.41 inference(transitivity,[status(thm)],[1394, 885])).
% 3.25/3.41 tff(1396,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n1)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1395])).
% 3.25/3.41 tff(1397,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n0),
% 3.25/3.41 inference(transitivity,[status(thm)],[1396, 284])).
% 3.25/3.41 tff(1398,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n0, n0)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1397, 1393])).
% 3.25/3.41 tff(1399,plain,
% 3.25/3.41 (Z!0 = n0),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1398, 1247])).
% 3.25/3.41 tff(1400,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[207, 1399])).
% 3.25/3.41 tff(1401,plain,((~(X!2 = n10)) | (~(Y!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1402,plain,
% 3.25/3.41 (~(X!2 = n10)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1401, 1279])).
% 3.25/3.41 tff(1403,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n2, n1)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[920, 1279])).
% 3.25/3.41 tff(1404,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n3),
% 3.25/3.41 inference(transitivity,[status(thm)],[1403, 996])).
% 3.25/3.41 tff(1405,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n3)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1404])).
% 3.25/3.41 tff(1406,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n2),
% 3.25/3.41 inference(transitivity,[status(thm)],[1405, 21])).
% 3.25/3.41 tff(1407,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n1, n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1279, 1406])).
% 3.25/3.41 tff(1408,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n3),
% 3.25/3.41 inference(transitivity,[status(thm)],[1407, 883])).
% 3.25/3.41 tff(1409,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n2, n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[920, 1288])).
% 3.25/3.41 tff(1410,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n4),
% 3.25/3.41 inference(transitivity,[status(thm)],[1409, 919])).
% 3.25/3.41 tff(1411,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n4)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1410])).
% 3.25/3.41 tff(1412,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n3),
% 3.25/3.41 inference(transitivity,[status(thm)],[1411, 12])).
% 3.25/3.41 tff(1413,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n3, n3)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1412, 1408])).
% 3.25/3.41 tff(1414,plain,
% 3.25/3.41 (Z!0 = n6),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1413, 785])).
% 3.25/3.41 tff(1415,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[160, 1414])).
% 3.25/3.41 tff(1416,plain,((~(X!2 = n2)) | (~(Y!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1417,plain,
% 3.25/3.41 (~(X!2 = n2)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1416, 1279])).
% 3.25/3.41 tff(1418,assumption,(X!2 = n0), introduced(assumption)).
% 3.25/3.41 tff(1419,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n0, n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 802])).
% 3.25/3.41 tff(1420,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n2),
% 3.25/3.41 inference(transitivity,[status(thm)],[1419, 437])).
% 3.25/3.41 tff(1421,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1420])).
% 3.25/3.41 tff(1422,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n1),
% 3.25/3.41 inference(transitivity,[status(thm)],[1421, 79])).
% 3.25/3.41 tff(1423,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n2, n1)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[802, 1422])).
% 3.25/3.41 tff(1424,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n3),
% 3.25/3.41 inference(transitivity,[status(thm)],[1423, 996])).
% 3.25/3.41 tff(1425,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n0, n3)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 811])).
% 3.25/3.41 tff(1426,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n3),
% 3.25/3.41 inference(transitivity,[status(thm)],[1425, 575])).
% 3.25/3.41 tff(1427,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n3)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1426])).
% 3.25/3.41 tff(1428,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n2),
% 3.25/3.41 inference(transitivity,[status(thm)],[1427, 21])).
% 3.25/3.41 tff(1429,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n2, n3)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1428, 1424])).
% 3.25/3.41 tff(1430,plain,
% 3.25/3.41 (Z!0 = n5),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1429, 918])).
% 3.25/3.41 tff(1431,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[116, 1430])).
% 3.25/3.41 tff(1432,plain,((~(Y!1 = n2)) | (~(X!2 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1433,plain,
% 3.25/3.41 (~(Y!1 = n2)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1432, 1418])).
% 3.25/3.41 tff(1434,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n0, n5)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 608])).
% 3.25/3.41 tff(1435,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n5),
% 3.25/3.41 inference(transitivity,[status(thm)],[1434, 192])).
% 3.25/3.41 tff(1436,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n5)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1435])).
% 3.25/3.41 tff(1437,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n4),
% 3.25/3.41 inference(transitivity,[status(thm)],[1436, 50])).
% 3.25/3.41 tff(1438,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n5, n4)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[608, 1437])).
% 3.25/3.41 tff(1439,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n9),
% 3.25/3.41 inference(transitivity,[status(thm)],[1438, 399])).
% 3.25/3.41 tff(1440,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n0, n6)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 617])).
% 3.25/3.41 tff(1441,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n6),
% 3.25/3.41 inference(transitivity,[status(thm)],[1440, 212])).
% 3.25/3.41 tff(1442,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n6)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1441])).
% 3.25/3.41 tff(1443,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n5),
% 3.25/3.41 inference(transitivity,[status(thm)],[1442, 16])).
% 3.25/3.41 tff(1444,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n5, n9)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1443, 1439])).
% 3.25/3.41 tff(1445,plain,
% 3.25/3.41 (Z!0 = n3),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1444, 371])).
% 3.25/3.41 tff(1446,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[395, 1445])).
% 3.25/3.41 tff(1447,plain,((~(Y!1 = n5)) | (~(X!2 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1448,plain,
% 3.25/3.41 (~(Y!1 = n5)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1447, 1418])).
% 3.25/3.41 tff(1449,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n0, n3)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 436])).
% 3.25/3.41 tff(1450,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n3),
% 3.25/3.41 inference(transitivity,[status(thm)],[1449, 575])).
% 3.25/3.41 tff(1451,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n3)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1450])).
% 3.25/3.41 tff(1452,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n2),
% 3.25/3.41 inference(transitivity,[status(thm)],[1451, 21])).
% 3.25/3.41 tff(1453,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n3, n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[436, 1452])).
% 3.25/3.41 tff(1454,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n5),
% 3.25/3.41 inference(transitivity,[status(thm)],[1453, 769])).
% 3.25/3.41 tff(1455,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n0, n4)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 446])).
% 3.25/3.41 tff(1456,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n4),
% 3.25/3.41 inference(transitivity,[status(thm)],[1455, 400])).
% 3.25/3.41 tff(1457,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n4)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1456])).
% 3.25/3.41 tff(1458,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n3),
% 3.25/3.41 inference(transitivity,[status(thm)],[1457, 12])).
% 3.25/3.41 tff(1459,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n3, n5)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1458, 1454])).
% 3.25/3.41 tff(1460,plain,
% 3.25/3.41 (Z!0 = n8),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1459, 706])).
% 3.25/3.41 tff(1461,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[430, 1460])).
% 3.25/3.41 tff(1462,plain,((~(Y!1 = n3)) | (~(X!2 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1463,plain,
% 3.25/3.41 (~(Y!1 = n3)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1462, 1418])).
% 3.25/3.41 tff(1464,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n0, n6)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 286])).
% 3.25/3.41 tff(1465,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n6),
% 3.25/3.41 inference(transitivity,[status(thm)],[1464, 212])).
% 3.25/3.41 tff(1466,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n6)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1465])).
% 3.25/3.41 tff(1467,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n5),
% 3.25/3.41 inference(transitivity,[status(thm)],[1466, 16])).
% 3.25/3.41 tff(1468,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n6, n5)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[286, 1467])).
% 3.25/3.41 tff(1469,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n0),
% 3.25/3.41 inference(transitivity,[status(thm)],[1468, 191])).
% 3.25/3.41 tff(1470,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n0, n7)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 296])).
% 3.25/3.41 tff(1471,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n7),
% 3.25/3.41 inference(transitivity,[status(thm)],[1470, 164])).
% 3.25/3.41 tff(1472,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n7)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1471])).
% 3.25/3.41 tff(1473,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n6),
% 3.25/3.41 inference(transitivity,[status(thm)],[1472, 133])).
% 3.25/3.41 tff(1474,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n6, n0)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1473, 1469])).
% 3.25/3.41 tff(1475,plain,
% 3.25/3.41 (Z!0 = n6),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1474, 193])).
% 3.25/3.41 tff(1476,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[160, 1475])).
% 3.25/3.41 tff(1477,plain,((~(Y!1 = n6)) | (~(X!2 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1478,plain,
% 3.25/3.41 (~(Y!1 = n6)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1477, 1418])).
% 3.25/3.41 tff(1479,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n0, n7)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 76])).
% 3.25/3.41 tff(1480,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n7),
% 3.25/3.41 inference(transitivity,[status(thm)],[1479, 164])).
% 3.25/3.41 tff(1481,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n7)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1480])).
% 3.25/3.41 tff(1482,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n6),
% 3.25/3.41 inference(transitivity,[status(thm)],[1481, 133])).
% 3.25/3.41 tff(1483,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n7, n6)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[76, 1482])).
% 3.25/3.41 tff(1484,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n2),
% 3.25/3.41 inference(transitivity,[status(thm)],[1483, 211])).
% 3.25/3.41 tff(1485,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n0, n8)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 89])).
% 3.25/3.41 tff(1486,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n8),
% 3.25/3.41 inference(transitivity,[status(thm)],[1485, 168])).
% 3.25/3.41 tff(1487,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n8)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1486])).
% 3.25/3.41 tff(1488,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n7),
% 3.25/3.41 inference(transitivity,[status(thm)],[1487, 165])).
% 3.25/3.41 tff(1489,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n7, n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1488, 1484])).
% 3.25/3.41 tff(1490,plain,
% 3.25/3.41 (Z!0 = n9),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1489, 74])).
% 3.25/3.41 tff(1491,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[141, 1490])).
% 3.25/3.41 tff(1492,plain,((~(Y!1 = n7)) | (~(X!2 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1493,plain,
% 3.25/3.41 (~(Y!1 = n7)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1492, 1418])).
% 3.25/3.41 tff(1494,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n0, n8)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 18])).
% 3.25/3.41 tff(1495,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n8),
% 3.25/3.41 inference(transitivity,[status(thm)],[1494, 168])).
% 3.25/3.41 tff(1496,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n8)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1495])).
% 3.25/3.41 tff(1497,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n7),
% 3.25/3.41 inference(transitivity,[status(thm)],[1496, 165])).
% 3.25/3.41 tff(1498,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n8, n7)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[18, 1497])).
% 3.25/3.41 tff(1499,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n4),
% 3.25/3.41 inference(transitivity,[status(thm)],[1498, 122])).
% 3.25/3.41 tff(1500,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n0, n9)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 32])).
% 3.25/3.41 tff(1501,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n9),
% 3.25/3.41 inference(transitivity,[status(thm)],[1500, 230])).
% 3.25/3.41 tff(1502,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n9)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1501])).
% 3.25/3.41 tff(1503,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n8),
% 3.25/3.41 inference(transitivity,[status(thm)],[1502, 169])).
% 3.25/3.41 tff(1504,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n8, n4)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1503, 1499])).
% 3.25/3.41 tff(1505,plain,
% 3.25/3.41 (Z!0 = n1),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1504, 146])).
% 3.25/3.41 tff(1506,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[571, 1505])).
% 3.25/3.41 tff(1507,plain,((~(Y!1 = n8)) | (~(X!2 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1508,plain,
% 3.25/3.41 (~(Y!1 = n8)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1507, 1418])).
% 3.25/3.41 tff(1509,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n0, n9)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 52])).
% 3.25/3.41 tff(1510,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n9),
% 3.25/3.41 inference(transitivity,[status(thm)],[1509, 230])).
% 3.25/3.41 tff(1511,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n9)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1510])).
% 3.25/3.41 tff(1512,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n8),
% 3.25/3.41 inference(transitivity,[status(thm)],[1511, 169])).
% 3.25/3.41 tff(1513,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n9, n8)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[52, 1512])).
% 3.25/3.41 tff(1514,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n6),
% 3.25/3.41 inference(transitivity,[status(thm)],[1513, 17])).
% 3.25/3.41 tff(1515,plain,
% 3.25/3.41 (sum(n0, n10) = n10),
% 3.25/3.41 inference(and_elim,[status(thm)],[9])).
% 3.25/3.41 tff(1516,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n0, n10)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 62])).
% 3.25/3.41 tff(1517,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n10),
% 3.25/3.41 inference(transitivity,[status(thm)],[1516, 1515])).
% 3.25/3.41 tff(1518,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n10)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1517])).
% 3.25/3.41 tff(1519,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n9),
% 3.25/3.41 inference(transitivity,[status(thm)],[1518, 177])).
% 3.25/3.41 tff(1520,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n9, n6)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1519, 1514])).
% 3.25/3.41 tff(1521,plain,
% 3.25/3.41 (Z!0 = n4),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1520, 307])).
% 3.25/3.41 tff(1522,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[338, 1521])).
% 3.25/3.41 tff(1523,plain,((~(Y!1 = n9)) | (~(X!2 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1524,plain,
% 3.25/3.41 (~(Y!1 = n9)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1523, 1418])).
% 3.25/3.41 tff(1525,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n0, n0)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 167])).
% 3.25/3.41 tff(1526,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n0),
% 3.25/3.41 inference(transitivity,[status(thm)],[1525, 1247])).
% 3.25/3.41 tff(1527,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n0)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1526])).
% 3.25/3.41 tff(1528,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n10),
% 3.25/3.41 inference(transitivity,[status(thm)],[1527, 359])).
% 3.25/3.41 tff(1529,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n0, n10)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[167, 1528])).
% 3.25/3.41 tff(1530,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n10),
% 3.25/3.41 inference(transitivity,[status(thm)],[1529, 1515])).
% 3.25/3.41 tff(1531,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n0, n1)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 181])).
% 3.25/3.41 tff(1532,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n1),
% 3.25/3.41 inference(transitivity,[status(thm)],[1531, 867])).
% 3.25/3.41 tff(1533,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n1)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1532])).
% 3.25/3.41 tff(1534,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n0),
% 3.25/3.41 inference(transitivity,[status(thm)],[1533, 284])).
% 3.25/3.41 tff(1535,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n0, n10)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1534, 1530])).
% 3.25/3.41 tff(1536,plain,
% 3.25/3.41 (Z!0 = n10),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1535, 1515])).
% 3.25/3.41 tff(1537,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[96, 1536])).
% 3.25/3.41 tff(1538,plain,((~(Y!1 = n0)) | (~(X!2 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1539,plain,
% 3.25/3.41 (~(Y!1 = n0)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1538, 1418])).
% 3.25/3.41 tff(1540,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n0, n4)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 1027])).
% 3.25/3.41 tff(1541,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n4),
% 3.25/3.41 inference(transitivity,[status(thm)],[1540, 400])).
% 3.25/3.41 tff(1542,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n4)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1541])).
% 3.25/3.41 tff(1543,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n3),
% 3.25/3.41 inference(transitivity,[status(thm)],[1542, 12])).
% 3.25/3.41 tff(1544,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n4, n3)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1027, 1543])).
% 3.25/3.41 tff(1545,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n7),
% 3.25/3.41 inference(transitivity,[status(thm)],[1544, 523])).
% 3.25/3.41 tff(1546,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n0, n5)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1418, 1037])).
% 3.25/3.41 tff(1547,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n5),
% 3.25/3.41 inference(transitivity,[status(thm)],[1546, 192])).
% 3.25/3.41 tff(1548,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n5)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1547])).
% 3.25/3.41 tff(1549,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n4),
% 3.25/3.41 inference(transitivity,[status(thm)],[1548, 50])).
% 3.25/3.41 tff(1550,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n4, n7)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1549, 1545])).
% 3.25/3.41 tff(1551,plain,
% 3.25/3.41 (Z!0 = n0),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1550, 525])).
% 3.25/3.41 tff(1552,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[207, 1551])).
% 3.25/3.41 tff(1553,plain,((~(Y!1 = n4)) | (~(X!2 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1554,plain,
% 3.25/3.41 (~(Y!1 = n4)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1553, 1418])).
% 3.25/3.41 tff(1555,assumption,(Y!1 = n10), introduced(assumption)).
% 3.25/3.41 tff(1556,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n2, n10)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[920, 1555])).
% 3.25/3.41 tff(1557,plain,
% 3.25/3.41 (sum(X!2, Y!1) = n1),
% 3.25/3.41 inference(transitivity,[status(thm)],[1556, 558])).
% 3.25/3.41 tff(1558,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = pred(n1)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1557])).
% 3.25/3.41 tff(1559,plain,
% 3.25/3.41 (pred(sum(X!2, Y!1)) = n0),
% 3.25/3.41 inference(transitivity,[status(thm)],[1558, 284])).
% 3.25/3.41 tff(1560,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n10, n0)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1555, 1559])).
% 3.25/3.41 tff(1561,plain,
% 3.25/3.41 (sum(Y!1, pred(sum(X!2, Y!1))) = n10),
% 3.25/3.41 inference(transitivity,[status(thm)],[1560, 231])).
% 3.25/3.41 tff(1562,plain,
% 3.25/3.41 (succ(n10) = n0),
% 3.25/3.41 inference(and_elim,[status(thm)],[9])).
% 3.25/3.41 tff(1563,plain,
% 3.25/3.41 (succ(Y!1) = succ(n10)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1555])).
% 3.25/3.41 tff(1564,plain,
% 3.25/3.41 (succ(Y!1) = n0),
% 3.25/3.41 inference(transitivity,[status(thm)],[1563, 1562])).
% 3.25/3.41 tff(1565,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = sum(n2, n0)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[920, 1564])).
% 3.25/3.41 tff(1566,plain,
% 3.25/3.41 (sum(X!2, succ(Y!1)) = n2),
% 3.25/3.41 inference(transitivity,[status(thm)],[1565, 884])).
% 3.25/3.41 tff(1567,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = pred(n2)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1566])).
% 3.25/3.41 tff(1568,plain,
% 3.25/3.41 (pred(sum(X!2, succ(Y!1))) = n1),
% 3.25/3.41 inference(transitivity,[status(thm)],[1567, 79])).
% 3.25/3.41 tff(1569,plain,
% 3.25/3.41 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n1, n10)),
% 3.25/3.41 inference(monotonicity,[status(thm)],[1568, 1561])).
% 3.25/3.41 tff(1570,plain,
% 3.25/3.41 (Z!0 = n0),
% 3.25/3.41 inference(transitivity,[status(thm)],[38, 1569, 1236])).
% 3.25/3.41 tff(1571,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[207, 1570])).
% 3.25/3.41 tff(1572,plain,((~(X!2 = n2)) | (~(Y!1 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(1573,plain,
% 3.25/3.41 (~(X!2 = n2)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1572, 1555])).
% 3.25/3.41 tff(1574,plain,
% 3.25/3.41 (sum(X!2, Y!1) = sum(n3, n10)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[707, 1555])).
% 3.25/3.42 tff(1575,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n2),
% 3.25/3.42 inference(transitivity,[status(thm)],[1574, 19])).
% 3.25/3.42 tff(1576,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n2)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1575])).
% 3.25/3.42 tff(1577,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n1),
% 3.25/3.42 inference(transitivity,[status(thm)],[1576, 79])).
% 3.25/3.42 tff(1578,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n10, n1)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1555, 1577])).
% 3.25/3.42 tff(1579,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n0),
% 3.25/3.42 inference(transitivity,[status(thm)],[1578, 456])).
% 3.25/3.42 tff(1580,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n3, n0)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[707, 1564])).
% 3.25/3.42 tff(1581,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n3),
% 3.25/3.42 inference(transitivity,[status(thm)],[1580, 381])).
% 3.25/3.42 tff(1582,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n3)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1581])).
% 3.25/3.42 tff(1583,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n2),
% 3.25/3.42 inference(transitivity,[status(thm)],[1582, 21])).
% 3.25/3.42 tff(1584,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n2, n0)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1583, 1579])).
% 3.25/3.42 tff(1585,plain,
% 3.25/3.42 (Z!0 = n2),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1584, 884])).
% 3.25/3.42 tff(1586,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[40, 1585])).
% 3.25/3.42 tff(1587,plain,((~(X!2 = n3)) | (~(Y!1 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1588,plain,
% 3.25/3.42 (~(X!2 = n3)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1587, 1555])).
% 3.25/3.42 tff(1589,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n4, n10)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[524, 1555])).
% 3.25/3.42 tff(1590,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n3),
% 3.25/3.42 inference(transitivity,[status(thm)],[1589, 120])).
% 3.25/3.42 tff(1591,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n3)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1590])).
% 3.25/3.42 tff(1592,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n2),
% 3.25/3.42 inference(transitivity,[status(thm)],[1591, 21])).
% 3.25/3.42 tff(1593,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n10, n2)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1555, 1592])).
% 3.25/3.42 tff(1594,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n1),
% 3.25/3.42 inference(transitivity,[status(thm)],[1593, 885])).
% 3.25/3.42 tff(1595,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n4, n0)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[524, 1564])).
% 3.25/3.42 tff(1596,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n4),
% 3.25/3.42 inference(transitivity,[status(thm)],[1595, 44])).
% 3.25/3.42 tff(1597,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n4)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1596])).
% 3.25/3.42 tff(1598,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n3),
% 3.25/3.42 inference(transitivity,[status(thm)],[1597, 12])).
% 3.25/3.42 tff(1599,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n3, n1)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1598, 1594])).
% 3.25/3.42 tff(1600,plain,
% 3.25/3.42 (Z!0 = n4),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1599, 489])).
% 3.25/3.42 tff(1601,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[338, 1600])).
% 3.25/3.42 tff(1602,plain,((~(X!2 = n4)) | (~(Y!1 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1603,plain,
% 3.25/3.42 (~(X!2 = n4)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1602, 1555])).
% 3.25/3.42 tff(1604,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n5, n10)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[361, 1555])).
% 3.25/3.42 tff(1605,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n4),
% 3.25/3.42 inference(transitivity,[status(thm)],[1604, 323])).
% 3.25/3.42 tff(1606,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n4)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1605])).
% 3.25/3.42 tff(1607,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n3),
% 3.25/3.42 inference(transitivity,[status(thm)],[1606, 12])).
% 3.25/3.42 tff(1608,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n10, n3)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1555, 1607])).
% 3.25/3.42 tff(1609,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n2),
% 3.25/3.42 inference(transitivity,[status(thm)],[1608, 490])).
% 3.25/3.42 tff(1610,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n5, n0)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[361, 1564])).
% 3.25/3.42 tff(1611,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n5),
% 3.25/3.42 inference(transitivity,[status(thm)],[1610, 100])).
% 3.25/3.42 tff(1612,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n5)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1611])).
% 3.25/3.42 tff(1613,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n4),
% 3.25/3.42 inference(transitivity,[status(thm)],[1612, 50])).
% 3.25/3.42 tff(1614,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n4, n2)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1613, 1609])).
% 3.25/3.42 tff(1615,plain,
% 3.25/3.42 (Z!0 = n6),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1614, 902])).
% 3.25/3.42 tff(1616,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[160, 1615])).
% 3.25/3.42 tff(1617,plain,((~(X!2 = n5)) | (~(Y!1 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1618,plain,
% 3.25/3.42 (~(X!2 = n5)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1617, 1555])).
% 3.25/3.42 tff(1619,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n6, n10)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[23, 1555])).
% 3.25/3.42 tff(1620,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n5),
% 3.25/3.42 inference(transitivity,[status(thm)],[1619, 358])).
% 3.25/3.42 tff(1621,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n5)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1620])).
% 3.25/3.42 tff(1622,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n4),
% 3.25/3.42 inference(transitivity,[status(thm)],[1621, 50])).
% 3.25/3.42 tff(1623,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n10, n4)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1555, 1622])).
% 3.25/3.42 tff(1624,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n3),
% 3.25/3.42 inference(transitivity,[status(thm)],[1623, 497])).
% 3.25/3.42 tff(1625,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n6, n0)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[23, 1564])).
% 3.25/3.42 tff(1626,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n6),
% 3.25/3.42 inference(transitivity,[status(thm)],[1625, 193])).
% 3.25/3.42 tff(1627,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n6)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1626])).
% 3.25/3.42 tff(1628,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n5),
% 3.25/3.42 inference(transitivity,[status(thm)],[1627, 16])).
% 3.25/3.42 tff(1629,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n5, n3)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1628, 1624])).
% 3.25/3.42 tff(1630,plain,
% 3.25/3.42 (Z!0 = n8),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1629, 435])).
% 3.25/3.42 tff(1631,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[430, 1630])).
% 3.25/3.42 tff(1632,plain,((~(X!2 = n6)) | (~(Y!1 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1633,plain,
% 3.25/3.42 (~(X!2 = n6)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1632, 1555])).
% 3.25/3.42 tff(1634,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n8, n10)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[123, 1555])).
% 3.25/3.42 tff(1635,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n7),
% 3.25/3.42 inference(transitivity,[status(thm)],[1634, 134])).
% 3.25/3.42 tff(1636,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n7)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1635])).
% 3.25/3.42 tff(1637,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n6),
% 3.25/3.42 inference(transitivity,[status(thm)],[1636, 133])).
% 3.25/3.42 tff(1638,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n10, n6)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1555, 1637])).
% 3.25/3.42 tff(1639,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n5),
% 3.25/3.42 inference(transitivity,[status(thm)],[1638, 325])).
% 3.25/3.42 tff(1640,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n8, n0)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[123, 1564])).
% 3.25/3.42 tff(1641,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n8),
% 3.25/3.42 inference(transitivity,[status(thm)],[1640, 166])).
% 3.25/3.42 tff(1642,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n8)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1641])).
% 3.25/3.42 tff(1643,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n7),
% 3.25/3.42 inference(transitivity,[status(thm)],[1642, 165])).
% 3.25/3.42 tff(1644,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n7, n5)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1643, 1639])).
% 3.25/3.42 tff(1645,plain,
% 3.25/3.42 (Z!0 = n1),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1644, 266])).
% 3.25/3.42 tff(1646,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[571, 1645])).
% 3.25/3.42 tff(1647,plain,((~(X!2 = n8)) | (~(Y!1 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1648,plain,
% 3.25/3.42 (~(X!2 = n8)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1647, 1555])).
% 3.25/3.42 tff(1649,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n7, n10)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[47, 1555])).
% 3.25/3.42 tff(1650,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n6),
% 3.25/3.42 inference(transitivity,[status(thm)],[1649, 59])).
% 3.25/3.42 tff(1651,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n6)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1650])).
% 3.25/3.42 tff(1652,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n5),
% 3.25/3.42 inference(transitivity,[status(thm)],[1651, 16])).
% 3.25/3.42 tff(1653,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n10, n5)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1555, 1652])).
% 3.25/3.42 tff(1654,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n4),
% 3.25/3.42 inference(transitivity,[status(thm)],[1653, 674])).
% 3.25/3.42 tff(1655,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n7, n0)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[47, 1564])).
% 3.25/3.42 tff(1656,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n7),
% 3.25/3.42 inference(transitivity,[status(thm)],[1655, 213])).
% 3.25/3.42 tff(1657,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n7)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1656])).
% 3.25/3.42 tff(1658,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n6),
% 3.25/3.42 inference(transitivity,[status(thm)],[1657, 133])).
% 3.25/3.42 tff(1659,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n6, n4)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1658, 1654])).
% 3.25/3.42 tff(1660,plain,
% 3.25/3.42 (Z!0 = n10),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1659, 324])).
% 3.25/3.42 tff(1661,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[96, 1660])).
% 3.25/3.42 tff(1662,plain,((~(X!2 = n7)) | (~(Y!1 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1663,plain,
% 3.25/3.42 (~(X!2 = n7)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1662, 1555])).
% 3.25/3.42 tff(1664,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n9, n10)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[103, 1555])).
% 3.25/3.42 tff(1665,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n8),
% 3.25/3.42 inference(transitivity,[status(thm)],[1664, 851])).
% 3.25/3.42 tff(1666,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n8)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1665])).
% 3.25/3.42 tff(1667,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n7),
% 3.25/3.42 inference(transitivity,[status(thm)],[1666, 165])).
% 3.25/3.42 tff(1668,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n10, n7)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1555, 1667])).
% 3.25/3.42 tff(1669,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n6),
% 3.25/3.42 inference(transitivity,[status(thm)],[1668, 267])).
% 3.25/3.42 tff(1670,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n9, n0)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[103, 1564])).
% 3.25/3.42 tff(1671,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n9),
% 3.25/3.42 inference(transitivity,[status(thm)],[1670, 170])).
% 3.25/3.42 tff(1672,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n9)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1671])).
% 3.25/3.42 tff(1673,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n8),
% 3.25/3.42 inference(transitivity,[status(thm)],[1672, 169])).
% 3.25/3.42 tff(1674,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n8, n6)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1673, 1669])).
% 3.25/3.42 tff(1675,plain,
% 3.25/3.42 (Z!0 = n3),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1674, 233])).
% 3.25/3.42 tff(1676,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[395, 1675])).
% 3.25/3.42 tff(1677,plain,((~(X!2 = n9)) | (~(Y!1 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1678,plain,
% 3.25/3.42 (~(X!2 = n9)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1677, 1555])).
% 3.25/3.42 tff(1679,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n10, n10)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[232, 1555])).
% 3.25/3.42 tff(1680,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n9),
% 3.25/3.42 inference(transitivity,[status(thm)],[1679, 256])).
% 3.25/3.42 tff(1681,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n9)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1680])).
% 3.25/3.42 tff(1682,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n8),
% 3.25/3.42 inference(transitivity,[status(thm)],[1681, 169])).
% 3.25/3.42 tff(1683,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n10, n8)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1555, 1682])).
% 3.25/3.42 tff(1684,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n7),
% 3.25/3.42 inference(transitivity,[status(thm)],[1683, 234])).
% 3.25/3.42 tff(1685,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n10, n0)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[232, 1564])).
% 3.25/3.42 tff(1686,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n10),
% 3.25/3.42 inference(transitivity,[status(thm)],[1685, 231])).
% 3.25/3.42 tff(1687,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n10)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1686])).
% 3.25/3.42 tff(1688,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n9),
% 3.25/3.42 inference(transitivity,[status(thm)],[1687, 177])).
% 3.25/3.42 tff(1689,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n9, n7)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1688, 1684])).
% 3.25/3.42 tff(1690,plain,
% 3.25/3.42 (Z!0 = n5),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1689, 102])).
% 3.25/3.42 tff(1691,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[116, 1690])).
% 3.25/3.42 tff(1692,plain,((~(X!2 = n10)) | (~(Y!1 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1693,plain,
% 3.25/3.42 (~(X!2 = n10)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1692, 1555])).
% 3.25/3.42 tff(1694,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n1, n10)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1153, 1555])).
% 3.25/3.42 tff(1695,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n0),
% 3.25/3.42 inference(transitivity,[status(thm)],[1694, 1236])).
% 3.25/3.42 tff(1696,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n0)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1695])).
% 3.25/3.42 tff(1697,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n10),
% 3.25/3.42 inference(transitivity,[status(thm)],[1696, 359])).
% 3.25/3.42 tff(1698,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n10, n10)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1555, 1697])).
% 3.25/3.42 tff(1699,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n9),
% 3.25/3.42 inference(transitivity,[status(thm)],[1698, 256])).
% 3.25/3.42 tff(1700,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n1, n0)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1153, 1564])).
% 3.25/3.42 tff(1701,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n1),
% 3.25/3.42 inference(transitivity,[status(thm)],[1700, 1246])).
% 3.25/3.42 tff(1702,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n1)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1701])).
% 3.25/3.42 tff(1703,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n0),
% 3.25/3.42 inference(transitivity,[status(thm)],[1702, 284])).
% 3.25/3.42 tff(1704,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n0, n9)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1703, 1699])).
% 3.25/3.42 tff(1705,plain,
% 3.25/3.42 (Z!0 = n9),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1704, 230])).
% 3.25/3.42 tff(1706,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[141, 1705])).
% 3.25/3.42 tff(1707,plain,((~(X!2 = n1)) | (~(Y!1 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1708,plain,
% 3.25/3.42 (~(X!2 = n1)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1707, 1555])).
% 3.25/3.42 tff(1709,plain,
% 3.25/3.42 ((X!2 = n10) | (X!2 = n9) | (X!2 = n7) | (X!2 = n8) | (X!2 = n6) | (X!2 = n5) | (X!2 = n4) | (X!2 = n3) | (X!2 = n2) | (X!2 = n1) | (X!2 = n0)),
% 3.25/3.42 inference(and_elim,[status(thm)],[9])).
% 3.25/3.42 tff(1710,plain,
% 3.25/3.42 (X!2 = n0),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1709, 1708, 1693, 1678, 1663, 1648, 1633, 1618, 1603, 1588, 1573])).
% 3.25/3.42 tff(1711,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n0, n10)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1710, 1555])).
% 3.25/3.42 tff(1712,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n10),
% 3.25/3.42 inference(transitivity,[status(thm)],[1711, 1515])).
% 3.25/3.42 tff(1713,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n10)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1712])).
% 3.25/3.42 tff(1714,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n9),
% 3.25/3.42 inference(transitivity,[status(thm)],[1713, 177])).
% 3.25/3.42 tff(1715,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n10, n9)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1555, 1714])).
% 3.25/3.42 tff(1716,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n8),
% 3.25/3.42 inference(transitivity,[status(thm)],[1715, 229])).
% 3.25/3.42 tff(1717,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n0, n0)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1710, 1564])).
% 3.25/3.42 tff(1718,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n0),
% 3.25/3.42 inference(transitivity,[status(thm)],[1717, 1247])).
% 3.25/3.42 tff(1719,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n0)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1718])).
% 3.25/3.42 tff(1720,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n10),
% 3.25/3.42 inference(transitivity,[status(thm)],[1719, 359])).
% 3.25/3.42 tff(1721,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n10, n8)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1720, 1716])).
% 3.25/3.42 tff(1722,plain,
% 3.25/3.42 (Z!0 = n7),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1721, 234])).
% 3.25/3.42 tff(1723,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[69, 1722])).
% 3.25/3.42 tff(1724,plain,(~(Y!1 = n10)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1725,plain,
% 3.25/3.42 ((Y!1 = n10) | (Y!1 = n9) | (Y!1 = n8) | (Y!1 = n7) | (Y!1 = n6) | (Y!1 = n5) | (Y!1 = n4) | (Y!1 = n3) | (Y!1 = n2) | (Y!1 = n1) | (Y!1 = n0)),
% 3.25/3.42 inference(and_elim,[status(thm)],[9])).
% 3.25/3.42 tff(1726,plain,
% 3.25/3.42 ((Y!1 = n9) | (Y!1 = n8) | (Y!1 = n7) | (Y!1 = n6) | (Y!1 = n5) | (Y!1 = n4) | (Y!1 = n3) | (Y!1 = n2) | (Y!1 = n1) | (Y!1 = n0)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1725, 1724])).
% 3.25/3.42 tff(1727,plain,
% 3.25/3.42 (Y!1 = n1),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1726, 1554, 1539, 1524, 1508, 1493, 1478, 1463, 1448, 1433])).
% 3.25/3.42 tff(1728,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n0, n1)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1418, 1727])).
% 3.25/3.42 tff(1729,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n1),
% 3.25/3.42 inference(transitivity,[status(thm)],[1728, 867])).
% 3.25/3.42 tff(1730,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n1)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1729])).
% 3.25/3.42 tff(1731,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n0),
% 3.25/3.42 inference(transitivity,[status(thm)],[1730, 284])).
% 3.25/3.42 tff(1732,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n1, n0)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1727, 1731])).
% 3.25/3.42 tff(1733,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n1),
% 3.25/3.42 inference(transitivity,[status(thm)],[1732, 1246])).
% 3.25/3.42 tff(1734,plain,
% 3.25/3.42 (succ(Y!1) = succ(n1)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1727])).
% 3.25/3.42 tff(1735,plain,
% 3.25/3.42 (succ(Y!1) = n2),
% 3.25/3.42 inference(transitivity,[status(thm)],[1734, 1286])).
% 3.25/3.42 tff(1736,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n0, n2)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1418, 1735])).
% 3.25/3.42 tff(1737,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n2),
% 3.25/3.42 inference(transitivity,[status(thm)],[1736, 437])).
% 3.25/3.42 tff(1738,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n2)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1737])).
% 3.25/3.42 tff(1739,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n1),
% 3.25/3.42 inference(transitivity,[status(thm)],[1738, 79])).
% 3.25/3.42 tff(1740,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n1, n1)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1739, 1733])).
% 3.25/3.42 tff(1741,plain,
% 3.25/3.42 (Z!0 = n2),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1740, 1254])).
% 3.25/3.42 tff(1742,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[40, 1741])).
% 3.25/3.42 tff(1743,plain,(~(X!2 = n0)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1744,plain,
% 3.25/3.42 ((X!2 = n10) | (X!2 = n9) | (X!2 = n7) | (X!2 = n8) | (X!2 = n6) | (X!2 = n5) | (X!2 = n4) | (X!2 = n3) | (X!2 = n2) | (X!2 = n1)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1709, 1743])).
% 3.25/3.42 tff(1745,plain,
% 3.25/3.42 (X!2 = n1),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1744, 1417, 1402, 1387, 1372, 1357, 1342, 1327, 1312, 1297])).
% 3.25/3.42 tff(1746,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n1, n1)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1745, 1279])).
% 3.25/3.42 tff(1747,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n2),
% 3.25/3.42 inference(transitivity,[status(thm)],[1746, 1254])).
% 3.25/3.42 tff(1748,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n2)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1747])).
% 3.25/3.42 tff(1749,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n1),
% 3.25/3.42 inference(transitivity,[status(thm)],[1748, 79])).
% 3.25/3.42 tff(1750,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n1, n1)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1279, 1749])).
% 3.25/3.42 tff(1751,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n2),
% 3.25/3.42 inference(transitivity,[status(thm)],[1750, 1254])).
% 3.25/3.42 tff(1752,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n1, n2)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1745, 1288])).
% 3.25/3.42 tff(1753,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n3),
% 3.25/3.42 inference(transitivity,[status(thm)],[1752, 883])).
% 3.25/3.42 tff(1754,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n3)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1753])).
% 3.25/3.42 tff(1755,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n2),
% 3.25/3.42 inference(transitivity,[status(thm)],[1754, 21])).
% 3.25/3.42 tff(1756,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n2, n2)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1755, 1751])).
% 3.25/3.42 tff(1757,plain,
% 3.25/3.42 (Z!0 = n4),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1756, 919])).
% 3.25/3.42 tff(1758,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[338, 1757])).
% 3.25/3.42 tff(1759,plain,(~(Y!1 = n1)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1760,plain,
% 3.25/3.42 ((Y!1 = n9) | (Y!1 = n8) | (Y!1 = n7) | (Y!1 = n6) | (Y!1 = n5) | (Y!1 = n4) | (Y!1 = n3) | (Y!1 = n2) | (Y!1 = n0)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1726, 1759])).
% 3.25/3.42 tff(1761,plain,
% 3.25/3.42 (Y!1 = n4),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1760, 1278, 1263, 1245, 1228, 1213, 1198, 1183, 1168])).
% 3.25/3.42 tff(1762,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n1, n4)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1153, 1761])).
% 3.25/3.42 tff(1763,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n5),
% 3.25/3.42 inference(transitivity,[status(thm)],[1762, 1077])).
% 3.25/3.42 tff(1764,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n5)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1763])).
% 3.25/3.42 tff(1765,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n4),
% 3.25/3.42 inference(transitivity,[status(thm)],[1764, 50])).
% 3.25/3.42 tff(1766,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n4, n4)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1761, 1765])).
% 3.25/3.42 tff(1767,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n8),
% 3.25/3.42 inference(transitivity,[status(thm)],[1766, 1028])).
% 3.25/3.42 tff(1768,plain,
% 3.25/3.42 (succ(Y!1) = succ(n4)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1761])).
% 3.25/3.42 tff(1769,plain,
% 3.25/3.42 (succ(Y!1) = n5),
% 3.25/3.42 inference(transitivity,[status(thm)],[1768, 1035])).
% 3.25/3.42 tff(1770,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n1, n5)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1153, 1769])).
% 3.25/3.42 tff(1771,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n6),
% 3.25/3.42 inference(transitivity,[status(thm)],[1770, 643])).
% 3.25/3.42 tff(1772,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n6)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1771])).
% 3.25/3.42 tff(1773,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n5),
% 3.25/3.42 inference(transitivity,[status(thm)],[1772, 16])).
% 3.25/3.42 tff(1774,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n5, n8)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1773, 1767])).
% 3.25/3.42 tff(1775,plain,
% 3.25/3.42 (Z!0 = n2),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1774, 364])).
% 3.25/3.42 tff(1776,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[40, 1775])).
% 3.25/3.42 tff(1777,plain,(~(X!2 = n1)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1778,plain,
% 3.25/3.42 ((X!2 = n10) | (X!2 = n9) | (X!2 = n7) | (X!2 = n8) | (X!2 = n6) | (X!2 = n5) | (X!2 = n4) | (X!2 = n3) | (X!2 = n2)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1744, 1777])).
% 3.25/3.42 tff(1779,plain,
% 3.25/3.42 (X!2 = n2),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1778, 1152, 1137, 1122, 1107, 1092, 1076, 1061, 1046])).
% 3.25/3.42 tff(1780,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n2, n4)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1779, 1027])).
% 3.25/3.42 tff(1781,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n6),
% 3.25/3.42 inference(transitivity,[status(thm)],[1780, 488])).
% 3.25/3.42 tff(1782,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n6)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1781])).
% 3.25/3.42 tff(1783,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n5),
% 3.25/3.42 inference(transitivity,[status(thm)],[1782, 16])).
% 3.25/3.42 tff(1784,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n4, n5)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1027, 1783])).
% 3.25/3.42 tff(1785,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n9),
% 3.25/3.42 inference(transitivity,[status(thm)],[1784, 607])).
% 3.25/3.42 tff(1786,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n2, n5)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1779, 1037])).
% 3.25/3.42 tff(1787,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n7),
% 3.25/3.42 inference(transitivity,[status(thm)],[1786, 901])).
% 3.25/3.42 tff(1788,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n7)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1787])).
% 3.25/3.42 tff(1789,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n6),
% 3.25/3.42 inference(transitivity,[status(thm)],[1788, 133])).
% 3.25/3.42 tff(1790,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n6, n9)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1789, 1785])).
% 3.25/3.42 tff(1791,plain,
% 3.25/3.42 (Z!0 = n4),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1790, 13])).
% 3.25/3.42 tff(1792,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[338, 1791])).
% 3.25/3.42 tff(1793,plain,(~(Y!1 = n4)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1794,plain,
% 3.25/3.42 ((Y!1 = n9) | (Y!1 = n8) | (Y!1 = n7) | (Y!1 = n6) | (Y!1 = n5) | (Y!1 = n3) | (Y!1 = n2) | (Y!1 = n0)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1760, 1793])).
% 3.25/3.42 tff(1795,plain,
% 3.25/3.42 (Y!1 = n2),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1794, 1026, 1011, 995, 980, 965, 950, 935])).
% 3.25/3.42 tff(1796,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n2, n2)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[920, 1795])).
% 3.25/3.42 tff(1797,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n4),
% 3.25/3.42 inference(transitivity,[status(thm)],[1796, 919])).
% 3.25/3.42 tff(1798,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n4)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1797])).
% 3.25/3.42 tff(1799,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n3),
% 3.25/3.42 inference(transitivity,[status(thm)],[1798, 12])).
% 3.25/3.42 tff(1800,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n2, n3)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1795, 1799])).
% 3.25/3.42 tff(1801,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n5),
% 3.25/3.42 inference(transitivity,[status(thm)],[1800, 918])).
% 3.25/3.42 tff(1802,plain,
% 3.25/3.42 (succ(Y!1) = succ(n2)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1795])).
% 3.25/3.42 tff(1803,plain,
% 3.25/3.42 (succ(Y!1) = n3),
% 3.25/3.42 inference(transitivity,[status(thm)],[1802, 809])).
% 3.25/3.42 tff(1804,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n2, n3)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[920, 1803])).
% 3.25/3.42 tff(1805,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n5),
% 3.25/3.42 inference(transitivity,[status(thm)],[1804, 918])).
% 3.25/3.42 tff(1806,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n5)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1805])).
% 3.25/3.42 tff(1807,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n4),
% 3.25/3.42 inference(transitivity,[status(thm)],[1806, 50])).
% 3.25/3.42 tff(1808,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n4, n5)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1807, 1801])).
% 3.25/3.42 tff(1809,plain,
% 3.25/3.42 (Z!0 = n9),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1808, 607])).
% 3.25/3.42 tff(1810,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[141, 1809])).
% 3.25/3.42 tff(1811,plain,(~(X!2 = n2)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1812,plain,
% 3.25/3.42 ((X!2 = n10) | (X!2 = n9) | (X!2 = n7) | (X!2 = n8) | (X!2 = n6) | (X!2 = n5) | (X!2 = n4) | (X!2 = n3)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1778, 1811])).
% 3.25/3.42 tff(1813,plain,
% 3.25/3.42 (X!2 = n3),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1812, 917, 900, 882, 866, 850, 835, 820])).
% 3.25/3.42 tff(1814,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n3, n2)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1813, 802])).
% 3.25/3.42 tff(1815,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n5),
% 3.25/3.42 inference(transitivity,[status(thm)],[1814, 769])).
% 3.25/3.42 tff(1816,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n5)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1815])).
% 3.25/3.42 tff(1817,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n4),
% 3.25/3.42 inference(transitivity,[status(thm)],[1816, 50])).
% 3.25/3.42 tff(1818,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n2, n4)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[802, 1817])).
% 3.25/3.42 tff(1819,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n6),
% 3.25/3.42 inference(transitivity,[status(thm)],[1818, 488])).
% 3.25/3.42 tff(1820,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n3, n3)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1813, 811])).
% 3.25/3.42 tff(1821,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n6),
% 3.25/3.42 inference(transitivity,[status(thm)],[1820, 785])).
% 3.25/3.42 tff(1822,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n6)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1821])).
% 3.25/3.42 tff(1823,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n5),
% 3.25/3.42 inference(transitivity,[status(thm)],[1822, 16])).
% 3.25/3.42 tff(1824,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n5, n6)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1823, 1819])).
% 3.25/3.42 tff(1825,plain,
% 3.25/3.42 (Z!0 = n0),
% 3.25/3.42 inference(transitivity,[status(thm)],[38, 1824, 360])).
% 3.25/3.42 tff(1826,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[207, 1825])).
% 3.25/3.42 tff(1827,plain,(~(Y!1 = n2)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(1828,plain,
% 3.25/3.42 ((Y!1 = n9) | (Y!1 = n8) | (Y!1 = n7) | (Y!1 = n6) | (Y!1 = n5) | (Y!1 = n3) | (Y!1 = n0)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1794, 1827])).
% 3.25/3.42 tff(1829,plain,
% 3.25/3.42 (Y!1 = n5),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1828, 801, 784, 768, 752, 737, 722])).
% 3.25/3.42 tff(1830,plain,
% 3.25/3.42 (sum(X!2, Y!1) = sum(n3, n5)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[707, 1829])).
% 3.25/3.42 tff(1831,plain,
% 3.25/3.42 (sum(X!2, Y!1) = n8),
% 3.25/3.42 inference(transitivity,[status(thm)],[1830, 706])).
% 3.25/3.42 tff(1832,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = pred(n8)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1831])).
% 3.25/3.42 tff(1833,plain,
% 3.25/3.42 (pred(sum(X!2, Y!1)) = n7),
% 3.25/3.42 inference(transitivity,[status(thm)],[1832, 165])).
% 3.25/3.42 tff(1834,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n5, n7)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1829, 1833])).
% 3.25/3.42 tff(1835,plain,
% 3.25/3.42 (sum(Y!1, pred(sum(X!2, Y!1))) = n1),
% 3.25/3.42 inference(transitivity,[status(thm)],[1834, 417])).
% 3.25/3.42 tff(1836,plain,
% 3.25/3.42 (succ(Y!1) = succ(n5)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1829])).
% 3.25/3.42 tff(1837,plain,
% 3.25/3.42 (succ(Y!1) = n6),
% 3.25/3.42 inference(transitivity,[status(thm)],[1836, 615])).
% 3.25/3.42 tff(1838,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = sum(n3, n6)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[707, 1837])).
% 3.25/3.42 tff(1839,plain,
% 3.25/3.42 (sum(X!2, succ(Y!1)) = n9),
% 3.25/3.42 inference(transitivity,[status(thm)],[1838, 522])).
% 3.25/3.42 tff(1840,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = pred(n9)),
% 3.25/3.42 inference(monotonicity,[status(thm)],[1839])).
% 3.25/3.42 tff(1841,plain,
% 3.25/3.42 (pred(sum(X!2, succ(Y!1))) = n8),
% 3.25/3.42 inference(transitivity,[status(thm)],[1840, 169])).
% 3.25/3.42 tff(1842,plain,
% 3.25/3.42 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n8, n1)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1841, 1835])).
% 3.25/3.43 tff(1843,plain,
% 3.25/3.43 (Z!0 = n9),
% 3.25/3.43 inference(transitivity,[status(thm)],[38, 1842, 363])).
% 3.25/3.43 tff(1844,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[141, 1843])).
% 3.25/3.43 tff(1845,plain,(~(X!2 = n3)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(1846,plain,
% 3.25/3.43 ((X!2 = n10) | (X!2 = n9) | (X!2 = n7) | (X!2 = n8) | (X!2 = n6) | (X!2 = n5) | (X!2 = n4)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1812, 1845])).
% 3.25/3.43 tff(1847,plain,
% 3.25/3.43 (X!2 = n4),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1846, 705, 689, 673, 658, 642, 626])).
% 3.25/3.43 tff(1848,plain,
% 3.25/3.43 (sum(X!2, Y!1) = sum(n4, n5)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1847, 608])).
% 3.25/3.43 tff(1849,plain,
% 3.25/3.43 (sum(X!2, Y!1) = n9),
% 3.25/3.43 inference(transitivity,[status(thm)],[1848, 607])).
% 3.25/3.43 tff(1850,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = pred(n9)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1849])).
% 3.25/3.43 tff(1851,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = n8),
% 3.25/3.43 inference(transitivity,[status(thm)],[1850, 169])).
% 3.25/3.43 tff(1852,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n5, n8)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[608, 1851])).
% 3.25/3.43 tff(1853,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = n2),
% 3.25/3.43 inference(transitivity,[status(thm)],[1852, 364])).
% 3.25/3.43 tff(1854,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = sum(n4, n6)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1847, 617])).
% 3.25/3.43 tff(1855,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = n10),
% 3.25/3.43 inference(transitivity,[status(thm)],[1854, 591])).
% 3.25/3.43 tff(1856,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = pred(n10)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1855])).
% 3.25/3.43 tff(1857,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = n9),
% 3.25/3.43 inference(transitivity,[status(thm)],[1856, 177])).
% 3.25/3.43 tff(1858,plain,
% 3.25/3.43 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n9, n2)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1857, 1853])).
% 3.25/3.43 tff(1859,plain,
% 3.25/3.43 (Z!0 = n0),
% 3.25/3.43 inference(transitivity,[status(thm)],[38, 1858, 382])).
% 3.25/3.43 tff(1860,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[207, 1859])).
% 3.25/3.43 tff(1861,plain,(~(Y!1 = n5)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(1862,plain,
% 3.25/3.43 ((Y!1 = n9) | (Y!1 = n8) | (Y!1 = n7) | (Y!1 = n6) | (Y!1 = n3) | (Y!1 = n0)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1828, 1861])).
% 3.25/3.43 tff(1863,plain,
% 3.25/3.43 (Y!1 = n3),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1862, 606, 590, 574, 557, 541])).
% 3.25/3.43 tff(1864,plain,
% 3.25/3.43 (sum(X!2, Y!1) = sum(n4, n3)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[524, 1863])).
% 3.25/3.43 tff(1865,plain,
% 3.25/3.43 (sum(X!2, Y!1) = n7),
% 3.25/3.43 inference(transitivity,[status(thm)],[1864, 523])).
% 3.25/3.43 tff(1866,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = pred(n7)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1865])).
% 3.25/3.43 tff(1867,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = n6),
% 3.25/3.43 inference(transitivity,[status(thm)],[1866, 133])).
% 3.25/3.43 tff(1868,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n3, n6)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1863, 1867])).
% 3.25/3.43 tff(1869,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = n9),
% 3.25/3.43 inference(transitivity,[status(thm)],[1868, 522])).
% 3.25/3.43 tff(1870,plain,
% 3.25/3.43 (succ(Y!1) = succ(n3)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1863])).
% 3.25/3.43 tff(1871,plain,
% 3.25/3.43 (succ(Y!1) = n4),
% 3.25/3.43 inference(transitivity,[status(thm)],[1870, 444])).
% 3.25/3.43 tff(1872,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = sum(n4, n4)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[524, 1871])).
% 3.25/3.43 tff(1873,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = n8),
% 3.25/3.43 inference(transitivity,[status(thm)],[1872, 1028])).
% 3.25/3.43 tff(1874,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = pred(n8)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1873])).
% 3.25/3.43 tff(1875,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = n7),
% 3.25/3.43 inference(transitivity,[status(thm)],[1874, 165])).
% 3.25/3.43 tff(1876,plain,
% 3.25/3.43 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n7, n9)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1875, 1869])).
% 3.25/3.43 tff(1877,plain,
% 3.25/3.43 (Z!0 = n5),
% 3.25/3.43 inference(transitivity,[status(thm)],[38, 1876, 51])).
% 3.25/3.43 tff(1878,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[116, 1877])).
% 3.25/3.43 tff(1879,plain,(~(X!2 = n4)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(1880,plain,
% 3.25/3.43 ((X!2 = n10) | (X!2 = n9) | (X!2 = n7) | (X!2 = n8) | (X!2 = n6) | (X!2 = n5)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1846, 1879])).
% 3.25/3.43 tff(1881,plain,
% 3.25/3.43 (X!2 = n5),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1880, 521, 506, 487, 471, 455])).
% 3.25/3.43 tff(1882,plain,
% 3.25/3.43 (sum(X!2, Y!1) = sum(n5, n3)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1881, 436])).
% 3.25/3.43 tff(1883,plain,
% 3.25/3.43 (sum(X!2, Y!1) = n8),
% 3.25/3.43 inference(transitivity,[status(thm)],[1882, 435])).
% 3.25/3.43 tff(1884,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = pred(n8)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1883])).
% 3.25/3.43 tff(1885,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = n7),
% 3.25/3.43 inference(transitivity,[status(thm)],[1884, 165])).
% 3.25/3.43 tff(1886,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n3, n7)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[436, 1885])).
% 3.25/3.43 tff(1887,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = n10),
% 3.25/3.43 inference(transitivity,[status(thm)],[1886, 434])).
% 3.25/3.43 tff(1888,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = sum(n5, n4)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1881, 446])).
% 3.25/3.43 tff(1889,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = n9),
% 3.25/3.43 inference(transitivity,[status(thm)],[1888, 399])).
% 3.25/3.43 tff(1890,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = pred(n9)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1889])).
% 3.25/3.43 tff(1891,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = n8),
% 3.25/3.43 inference(transitivity,[status(thm)],[1890, 169])).
% 3.25/3.43 tff(1892,plain,
% 3.25/3.43 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n8, n10)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1891, 1887])).
% 3.25/3.43 tff(1893,plain,
% 3.25/3.43 (Z!0 = n7),
% 3.25/3.43 inference(transitivity,[status(thm)],[38, 1892, 134])).
% 3.25/3.43 tff(1894,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[69, 1893])).
% 3.25/3.43 tff(1895,plain,(~(Y!1 = n3)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(1896,plain,
% 3.25/3.43 ((Y!1 = n9) | (Y!1 = n8) | (Y!1 = n7) | (Y!1 = n6) | (Y!1 = n0)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1862, 1895])).
% 3.25/3.43 tff(1897,plain,
% 3.25/3.43 (Y!1 = n6),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1896, 433, 415, 398, 380])).
% 3.25/3.43 tff(1898,plain,
% 3.25/3.43 (sum(X!2, Y!1) = sum(n5, n6)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[361, 1897])).
% 3.25/3.43 tff(1899,plain,
% 3.25/3.43 (sum(X!2, Y!1) = n0),
% 3.25/3.43 inference(transitivity,[status(thm)],[1898, 360])).
% 3.25/3.43 tff(1900,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = pred(n0)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1899])).
% 3.25/3.43 tff(1901,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = n10),
% 3.25/3.43 inference(transitivity,[status(thm)],[1900, 359])).
% 3.25/3.43 tff(1902,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n6, n10)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1897, 1901])).
% 3.25/3.43 tff(1903,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = n5),
% 3.25/3.43 inference(transitivity,[status(thm)],[1902, 358])).
% 3.25/3.43 tff(1904,plain,
% 3.25/3.43 (succ(Y!1) = succ(n6)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1897])).
% 3.25/3.43 tff(1905,plain,
% 3.25/3.43 (succ(Y!1) = n7),
% 3.25/3.43 inference(transitivity,[status(thm)],[1904, 294])).
% 3.25/3.43 tff(1906,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = sum(n5, n7)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[361, 1905])).
% 3.25/3.43 tff(1907,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = n1),
% 3.25/3.43 inference(transitivity,[status(thm)],[1906, 417])).
% 3.25/3.43 tff(1908,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = pred(n1)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1907])).
% 3.25/3.43 tff(1909,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = n0),
% 3.25/3.43 inference(transitivity,[status(thm)],[1908, 284])).
% 3.25/3.43 tff(1910,plain,
% 3.25/3.43 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n0, n5)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1909, 1903])).
% 3.25/3.43 tff(1911,plain,
% 3.25/3.43 (Z!0 = n5),
% 3.25/3.43 inference(transitivity,[status(thm)],[38, 1910, 192])).
% 3.25/3.43 tff(1912,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[116, 1911])).
% 3.25/3.43 tff(1913,plain,(~(X!2 = n5)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(1914,plain,
% 3.25/3.43 ((X!2 = n10) | (X!2 = n9) | (X!2 = n7) | (X!2 = n8) | (X!2 = n6)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1880, 1913])).
% 3.25/3.43 tff(1915,plain,
% 3.25/3.43 (X!2 = n6),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1914, 357, 341, 322, 305])).
% 3.25/3.43 tff(1916,plain,
% 3.25/3.43 (sum(X!2, Y!1) = sum(n6, n6)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1915, 286])).
% 3.25/3.43 tff(1917,plain,
% 3.25/3.43 (sum(X!2, Y!1) = n1),
% 3.25/3.43 inference(transitivity,[status(thm)],[1916, 285])).
% 3.25/3.43 tff(1918,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = pred(n1)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1917])).
% 3.25/3.43 tff(1919,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = n0),
% 3.25/3.43 inference(transitivity,[status(thm)],[1918, 284])).
% 3.25/3.43 tff(1920,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n6, n0)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[286, 1919])).
% 3.25/3.43 tff(1921,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = n6),
% 3.25/3.43 inference(transitivity,[status(thm)],[1920, 193])).
% 3.25/3.43 tff(1922,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = sum(n6, n7)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1915, 296])).
% 3.25/3.43 tff(1923,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = n2),
% 3.25/3.43 inference(transitivity,[status(thm)],[1922, 80])).
% 3.25/3.43 tff(1924,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = pred(n2)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1923])).
% 3.25/3.43 tff(1925,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = n1),
% 3.25/3.43 inference(transitivity,[status(thm)],[1924, 79])).
% 3.25/3.43 tff(1926,plain,
% 3.25/3.43 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n1, n6)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1925, 1921])).
% 3.25/3.43 tff(1927,plain,
% 3.25/3.43 (Z!0 = n7),
% 3.25/3.43 inference(transitivity,[status(thm)],[38, 1926, 283])).
% 3.25/3.43 tff(1928,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[69, 1927])).
% 3.25/3.43 tff(1929,plain,(~(Y!1 = n6)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(1930,plain,
% 3.25/3.43 ((Y!1 = n9) | (Y!1 = n8) | (Y!1 = n7) | (Y!1 = n0)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1896, 1929])).
% 3.25/3.43 tff(1931,plain,
% 3.25/3.43 (Y!1 = n0),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1930, 282, 265, 249])).
% 3.25/3.43 tff(1932,plain,
% 3.25/3.43 (sum(X!2, Y!1) = sum(n10, n0)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[232, 1931])).
% 3.25/3.43 tff(1933,plain,
% 3.25/3.43 (sum(X!2, Y!1) = n10),
% 3.25/3.43 inference(transitivity,[status(thm)],[1932, 231])).
% 3.25/3.43 tff(1934,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = pred(n10)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1933])).
% 3.25/3.43 tff(1935,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = n9),
% 3.25/3.43 inference(transitivity,[status(thm)],[1934, 177])).
% 3.25/3.43 tff(1936,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n0, n9)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1931, 1935])).
% 3.25/3.43 tff(1937,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = n9),
% 3.25/3.43 inference(transitivity,[status(thm)],[1936, 230])).
% 3.25/3.43 tff(1938,plain,
% 3.25/3.43 (succ(Y!1) = succ(n0)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1931])).
% 3.25/3.43 tff(1939,plain,
% 3.25/3.43 (succ(Y!1) = n1),
% 3.25/3.43 inference(transitivity,[status(thm)],[1938, 179])).
% 3.25/3.43 tff(1940,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = sum(n10, n1)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[232, 1939])).
% 3.25/3.43 tff(1941,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = n0),
% 3.25/3.43 inference(transitivity,[status(thm)],[1940, 456])).
% 3.25/3.43 tff(1942,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = pred(n0)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1941])).
% 3.25/3.43 tff(1943,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = n10),
% 3.25/3.43 inference(transitivity,[status(thm)],[1942, 359])).
% 3.25/3.43 tff(1944,plain,
% 3.25/3.43 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n10, n9)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1943, 1937])).
% 3.25/3.43 tff(1945,plain,
% 3.25/3.43 (Z!0 = n8),
% 3.25/3.43 inference(transitivity,[status(thm)],[38, 1944, 229])).
% 3.25/3.43 tff(1946,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[430, 1945])).
% 3.25/3.43 tff(1947,plain,(~(X!2 = n10)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(1948,plain,
% 3.25/3.43 ((X!2 = n9) | (X!2 = n7) | (X!2 = n8) | (X!2 = n6)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1914, 1947])).
% 3.25/3.43 tff(1949,plain,
% 3.25/3.43 (X!2 = n8),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1948, 228, 210, 190])).
% 3.25/3.43 tff(1950,plain,
% 3.25/3.43 (sum(X!2, Y!1) = sum(n8, n0)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1949, 167])).
% 3.25/3.43 tff(1951,plain,
% 3.25/3.43 (sum(X!2, Y!1) = n8),
% 3.25/3.43 inference(transitivity,[status(thm)],[1950, 166])).
% 3.25/3.43 tff(1952,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = pred(n8)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1951])).
% 3.25/3.43 tff(1953,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = n7),
% 3.25/3.43 inference(transitivity,[status(thm)],[1952, 165])).
% 3.25/3.43 tff(1954,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n0, n7)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[167, 1953])).
% 3.25/3.43 tff(1955,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = n7),
% 3.25/3.43 inference(transitivity,[status(thm)],[1954, 164])).
% 3.25/3.43 tff(1956,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = sum(n8, n1)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1949, 181])).
% 3.25/3.43 tff(1957,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = n9),
% 3.25/3.43 inference(transitivity,[status(thm)],[1956, 363])).
% 3.25/3.43 tff(1958,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = pred(n9)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1957])).
% 3.25/3.43 tff(1959,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = n8),
% 3.25/3.43 inference(transitivity,[status(thm)],[1958, 169])).
% 3.25/3.43 tff(1960,plain,
% 3.25/3.43 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n8, n7)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1959, 1955])).
% 3.25/3.43 tff(1961,plain,
% 3.25/3.43 (Z!0 = n4),
% 3.25/3.43 inference(transitivity,[status(thm)],[38, 1960, 122])).
% 3.25/3.43 tff(1962,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[338, 1961])).
% 3.25/3.43 tff(1963,plain,(~(Y!1 = n0)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(1964,plain,
% 3.25/3.43 ((Y!1 = n9) | (Y!1 = n8) | (Y!1 = n7)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1930, 1963])).
% 3.25/3.43 tff(1965,plain,
% 3.25/3.43 (Y!1 = n7),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1964, 163, 144])).
% 3.25/3.43 tff(1966,plain,
% 3.25/3.43 (sum(X!2, Y!1) = sum(n8, n7)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[123, 1965])).
% 3.25/3.43 tff(1967,plain,
% 3.25/3.43 (sum(X!2, Y!1) = n4),
% 3.25/3.43 inference(transitivity,[status(thm)],[1966, 122])).
% 3.25/3.43 tff(1968,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = pred(n4)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1967])).
% 3.25/3.43 tff(1969,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = n3),
% 3.25/3.43 inference(transitivity,[status(thm)],[1968, 12])).
% 3.25/3.43 tff(1970,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n7, n3)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1965, 1969])).
% 3.25/3.43 tff(1971,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = n10),
% 3.25/3.43 inference(transitivity,[status(thm)],[1970, 121])).
% 3.25/3.43 tff(1972,plain,
% 3.25/3.43 (succ(Y!1) = succ(n7)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1965])).
% 3.25/3.43 tff(1973,plain,
% 3.25/3.43 (succ(Y!1) = n8),
% 3.25/3.43 inference(transitivity,[status(thm)],[1972, 87])).
% 3.25/3.43 tff(1974,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = sum(n8, n8)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[123, 1973])).
% 3.25/3.43 tff(1975,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = n5),
% 3.25/3.43 inference(transitivity,[status(thm)],[1974, 147])).
% 3.25/3.43 tff(1976,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = pred(n5)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1975])).
% 3.25/3.43 tff(1977,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = n4),
% 3.25/3.43 inference(transitivity,[status(thm)],[1976, 50])).
% 3.25/3.43 tff(1978,plain,
% 3.25/3.43 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n4, n10)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1977, 1971])).
% 3.25/3.43 tff(1979,plain,
% 3.25/3.43 (Z!0 = n3),
% 3.25/3.43 inference(transitivity,[status(thm)],[38, 1978, 120])).
% 3.25/3.43 tff(1980,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[395, 1979])).
% 3.25/3.43 tff(1981,plain,(~(X!2 = n8)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(1982,plain,
% 3.25/3.43 ((X!2 = n9) | (X!2 = n7) | (X!2 = n6)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1948, 1981])).
% 3.25/3.43 tff(1983,plain,
% 3.25/3.43 (X!2 = n7),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1982, 119, 99])).
% 3.25/3.43 tff(1984,plain,
% 3.25/3.43 (sum(X!2, Y!1) = sum(n7, n7)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1983, 76])).
% 3.25/3.43 tff(1985,plain,
% 3.25/3.43 (sum(X!2, Y!1) = n3),
% 3.25/3.43 inference(transitivity,[status(thm)],[1984, 75])).
% 3.25/3.43 tff(1986,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = pred(n3)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1985])).
% 3.25/3.43 tff(1987,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = n2),
% 3.25/3.43 inference(transitivity,[status(thm)],[1986, 21])).
% 3.25/3.43 tff(1988,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n7, n2)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[76, 1987])).
% 3.25/3.43 tff(1989,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = n9),
% 3.25/3.43 inference(transitivity,[status(thm)],[1988, 74])).
% 3.25/3.43 tff(1990,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = sum(n7, n8)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1983, 89])).
% 3.25/3.43 tff(1991,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = n4),
% 3.25/3.43 inference(transitivity,[status(thm)],[1990, 46])).
% 3.25/3.43 tff(1992,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = pred(n4)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1991])).
% 3.25/3.43 tff(1993,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = n3),
% 3.25/3.43 inference(transitivity,[status(thm)],[1992, 12])).
% 3.25/3.43 tff(1994,plain,
% 3.25/3.43 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n3, n9)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1993, 1989])).
% 3.25/3.43 tff(1995,plain,
% 3.25/3.43 (Z!0 = n1),
% 3.25/3.43 inference(transitivity,[status(thm)],[38, 1994, 73])).
% 3.25/3.43 tff(1996,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[571, 1995])).
% 3.25/3.43 tff(1997,plain,(~(Y!1 = n7)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(1998,plain,
% 3.25/3.43 ((Y!1 = n9) | (Y!1 = n8)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1964, 1997])).
% 3.25/3.43 tff(1999,plain,
% 3.25/3.43 (Y!1 = n8),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1998, 72])).
% 3.25/3.43 tff(2000,plain,
% 3.25/3.43 (sum(X!2, Y!1) = sum(n7, n8)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[47, 1999])).
% 3.25/3.43 tff(2001,plain,
% 3.25/3.43 (sum(X!2, Y!1) = n4),
% 3.25/3.43 inference(transitivity,[status(thm)],[2000, 46])).
% 3.25/3.43 tff(2002,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = pred(n4)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2001])).
% 3.25/3.43 tff(2003,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = n3),
% 3.25/3.43 inference(transitivity,[status(thm)],[2002, 12])).
% 3.25/3.43 tff(2004,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n8, n3)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1999, 2003])).
% 3.25/3.43 tff(2005,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = n0),
% 3.25/3.43 inference(transitivity,[status(thm)],[2004, 45])).
% 3.25/3.43 tff(2006,plain,
% 3.25/3.43 (succ(Y!1) = succ(n8)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[1999])).
% 3.25/3.43 tff(2007,plain,
% 3.25/3.43 (succ(Y!1) = n9),
% 3.25/3.43 inference(transitivity,[status(thm)],[2006, 30])).
% 3.25/3.43 tff(2008,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = sum(n7, n9)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[47, 2007])).
% 3.25/3.43 tff(2009,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = n5),
% 3.25/3.43 inference(transitivity,[status(thm)],[2008, 51])).
% 3.25/3.43 tff(2010,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = pred(n5)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2009])).
% 3.25/3.43 tff(2011,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = n4),
% 3.25/3.43 inference(transitivity,[status(thm)],[2010, 50])).
% 3.25/3.43 tff(2012,plain,
% 3.25/3.43 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n4, n0)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2011, 2005])).
% 3.25/3.43 tff(2013,plain,
% 3.25/3.43 (Z!0 = n4),
% 3.25/3.43 inference(transitivity,[status(thm)],[38, 2012, 44])).
% 3.25/3.43 tff(2014,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[338, 2013])).
% 3.25/3.43 tff(2015,plain,(~(X!2 = n7)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(2016,plain,
% 3.25/3.43 ((X!2 = n9) | (X!2 = n6)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1982, 2015])).
% 3.25/3.43 tff(2017,plain,
% 3.25/3.43 (X!2 = n9),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[2016, 43])).
% 3.25/3.43 tff(2018,plain,
% 3.25/3.43 (sum(X!2, Y!1) = sum(n9, n8)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2017, 18])).
% 3.25/3.43 tff(2019,plain,
% 3.25/3.43 (sum(X!2, Y!1) = n6),
% 3.25/3.43 inference(transitivity,[status(thm)],[2018, 17])).
% 3.25/3.43 tff(2020,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = pred(n6)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2019])).
% 3.25/3.43 tff(2021,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = n5),
% 3.25/3.43 inference(transitivity,[status(thm)],[2020, 16])).
% 3.25/3.43 tff(2022,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n8, n5)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[18, 2021])).
% 3.25/3.43 tff(2023,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = n2),
% 3.25/3.43 inference(transitivity,[status(thm)],[2022, 15])).
% 3.25/3.43 tff(2024,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = sum(n9, n9)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2017, 32])).
% 3.25/3.43 tff(2025,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = n7),
% 3.25/3.43 inference(transitivity,[status(thm)],[2024, 1229])).
% 3.25/3.43 tff(2026,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = pred(n7)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2025])).
% 3.25/3.43 tff(2027,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = n6),
% 3.25/3.43 inference(transitivity,[status(thm)],[2026, 133])).
% 3.25/3.43 tff(2028,plain,
% 3.25/3.43 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n6, n2)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2027, 2023])).
% 3.25/3.43 tff(2029,plain,
% 3.25/3.43 (Z!0 = n8),
% 3.25/3.43 inference(transitivity,[status(thm)],[38, 2028, 14])).
% 3.25/3.43 tff(2030,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[430, 2029])).
% 3.25/3.43 tff(2031,plain,(~(Y!1 = n8)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(2032,plain,
% 3.25/3.43 (Y!1 = n9),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1998, 2031])).
% 3.25/3.43 tff(2033,plain,
% 3.25/3.43 (sum(X!2, Y!1) = sum(n9, n9)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[103, 2032])).
% 3.25/3.43 tff(2034,plain,
% 3.25/3.43 (sum(X!2, Y!1) = n7),
% 3.25/3.43 inference(transitivity,[status(thm)],[2033, 1229])).
% 3.25/3.43 tff(2035,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = pred(n7)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2034])).
% 3.25/3.43 tff(2036,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = n6),
% 3.25/3.43 inference(transitivity,[status(thm)],[2035, 133])).
% 3.25/3.43 tff(2037,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n9, n6)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2032, 2036])).
% 3.25/3.43 tff(2038,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = n4),
% 3.25/3.43 inference(transitivity,[status(thm)],[2037, 307])).
% 3.25/3.43 tff(2039,plain,
% 3.25/3.43 (succ(Y!1) = succ(n9)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2032])).
% 3.25/3.43 tff(2040,plain,
% 3.25/3.43 (succ(Y!1) = n10),
% 3.25/3.43 inference(transitivity,[status(thm)],[2039, 60])).
% 3.25/3.43 tff(2041,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = sum(n9, n10)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[103, 2040])).
% 3.25/3.43 tff(2042,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = n8),
% 3.25/3.43 inference(transitivity,[status(thm)],[2041, 851])).
% 3.25/3.43 tff(2043,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = pred(n8)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2042])).
% 3.25/3.43 tff(2044,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = n7),
% 3.25/3.43 inference(transitivity,[status(thm)],[2043, 165])).
% 3.25/3.43 tff(2045,plain,
% 3.25/3.43 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n7, n4)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2044, 2038])).
% 3.25/3.43 tff(2046,plain,
% 3.25/3.43 (Z!0 = n0),
% 3.25/3.43 inference(transitivity,[status(thm)],[38, 2045, 101])).
% 3.25/3.43 tff(2047,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[207, 2046])).
% 3.25/3.43 tff(2048,plain,(~(X!2 = n9)), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(2049,plain,
% 3.25/3.43 (X!2 = n6),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[2016, 2048])).
% 3.25/3.43 tff(2050,plain,
% 3.25/3.43 (sum(X!2, Y!1) = sum(n6, n9)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2049, 2032])).
% 3.25/3.43 tff(2051,plain,
% 3.25/3.43 (sum(X!2, Y!1) = n4),
% 3.25/3.43 inference(transitivity,[status(thm)],[2050, 13])).
% 3.25/3.43 tff(2052,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = pred(n4)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2051])).
% 3.25/3.43 tff(2053,plain,
% 3.25/3.43 (pred(sum(X!2, Y!1)) = n3),
% 3.25/3.43 inference(transitivity,[status(thm)],[2052, 12])).
% 3.25/3.43 tff(2054,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = sum(n9, n3)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2032, 2053])).
% 3.25/3.43 tff(2055,plain,
% 3.25/3.43 (sum(Y!1, pred(sum(X!2, Y!1))) = n1),
% 3.25/3.43 inference(transitivity,[status(thm)],[2054, 11])).
% 3.25/3.43 tff(2056,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = sum(n6, n10)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2049, 2040])).
% 3.25/3.43 tff(2057,plain,
% 3.25/3.43 (sum(X!2, succ(Y!1)) = n5),
% 3.25/3.43 inference(transitivity,[status(thm)],[2056, 358])).
% 3.25/3.43 tff(2058,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = pred(n5)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2057])).
% 3.25/3.43 tff(2059,plain,
% 3.25/3.43 (pred(sum(X!2, succ(Y!1))) = n4),
% 3.25/3.43 inference(transitivity,[status(thm)],[2058, 50])).
% 3.25/3.43 tff(2060,plain,
% 3.25/3.43 (sum(pred(sum(X!2, succ(Y!1))), sum(Y!1, pred(sum(X!2, Y!1)))) = sum(n4, n1)),
% 3.25/3.43 inference(monotonicity,[status(thm)],[2059, 2055])).
% 3.25/3.43 tff(2061,plain,
% 3.25/3.43 (Z!0 = n5),
% 3.25/3.43 inference(transitivity,[status(thm)],[38, 2060, 10])).
% 3.25/3.44 tff(2062,plain,
% 3.25/3.44 ($false),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[116, 2061])).
% 3.25/3.44 % SZS output end Proof
%------------------------------------------------------------------------------