%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NUM375+1.010 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:19:06 AM UTC 2025
% Result : Unsatisfiable 0.25s 0.46s
% Output : Proof 3.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : NUM375+1.010 : TPTP v9.0.0. Released v3.2.0.
% 0.09/0.15 % Command : run_E %s %d THM
% 0.14/0.37 % Computer : n015.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri Jun 20 00:59:56 EDT 2025
% 0.14/0.37 % CPUTime :
% 0.25/0.46 % SZS status Unsatisfiable
% 0.25/0.46 % SZS output start Proof
% 0.25/0.46 tff(n4_type, type, (
% 0.25/0.46 n4: $i)).
% 0.25/0.46 tff(sum_type, type, (
% 0.25/0.46 sum: ( $i * $i ) > $i)).
% 0.25/0.46 tff(pred_type, type, (
% 0.25/0.46 pred: $i > $i)).
% 0.25/0.46 tff(tptp_fun_Y_0_type, type, (
% 0.25/0.46 tptp_fun_Y_0: $i)).
% 0.25/0.46 tff(tptp_fun_X_1_type, type, (
% 0.25/0.46 tptp_fun_X_1: $i)).
% 0.25/0.46 tff(succ_type, type, (
% 0.25/0.46 succ: $i > $i)).
% 0.25/0.46 tff(n0_type, type, (
% 0.25/0.46 n0: $i)).
% 0.25/0.46 tff(n10_type, type, (
% 0.25/0.46 n10: $i)).
% 0.25/0.46 tff(n8_type, type, (
% 0.25/0.46 n8: $i)).
% 0.25/0.46 tff(n9_type, type, (
% 0.25/0.46 n9: $i)).
% 0.25/0.46 tff(n7_type, type, (
% 0.25/0.46 n7: $i)).
% 0.25/0.46 tff(n6_type, type, (
% 0.25/0.46 n6: $i)).
% 0.25/0.46 tff(n5_type, type, (
% 0.25/0.46 n5: $i)).
% 0.25/0.46 tff(n3_type, type, (
% 0.25/0.46 n3: $i)).
% 0.25/0.46 tff(n2_type, type, (
% 0.25/0.46 n2: $i)).
% 0.25/0.46 tff(n1_type, type, (
% 0.25/0.46 n1: $i)).
% 0.25/0.46 tff(1,plain,
% 0.25/0.46 (((~(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!1 = n10) | (X!1 = n9) | (X!1 = n8) | (X!1 = n7) | (X!1 = n6) | (X!1 = n5) | (X!1 = n4) | (X!1 = n3) | (X!1 = n2) | (X!1 = n1) | (X!1 = n0)) & ((Y!0 = n10) | (Y!0 = n9) | (Y!0 = n8) | (Y!0 = n7) | (Y!0 = n6) | (Y!0 = n5) | (Y!0 = n4) | (Y!0 = n3) | (Y!0 = n2) | (Y!0 = n1) | (Y!0 = n0)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!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!1 = n6) | (X!1 = n10) | (X!1 = n8) | (X!1 = n9) | (X!1 = n7) | (X!1 = n5) | (X!1 = n4) | (X!1 = n3) | (X!1 = n2) | (X!1 = n1) | (X!1 = n0)) & ((Y!0 = n10) | (Y!0 = n9) | (Y!0 = n8) | (Y!0 = n7) | (Y!0 = n6) | (Y!0 = n5) | (Y!0 = n4) | (Y!0 = n3) | (Y!0 = n2) | (Y!0 = n1) | (Y!0 = n0)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!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)))),
% 0.25/0.47 inference(rewrite,[status(thm)],[])).
% 0.25/0.47 tff(2,plain,
% 0.25/0.47 (?[X: $i, Y: $i] : ((~(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)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n0)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n1)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n2)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n3)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n4)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n5)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n6)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n7)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n8)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n9)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(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))) <=> ?[X: $i, Y: $i] : ((~(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)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n0)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n1)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n2)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n3)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n4)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n5)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n6)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n7)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n8)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n9)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(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)))),
% 0.25/0.49 inference(rewrite,[status(thm)],[])).
% 0.25/0.49 tff(3,plain,
% 0.25/0.49 (?[X: $i, Y: $i, Z: $i] : ((~(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)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n0)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n1)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n2)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n3)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n4)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n5)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n6)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n7)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n8)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n9)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(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))) <=> ?[X: $i, Y: $i] : ((~(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)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n0)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n1)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n2)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n3)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n4)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n5)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n6)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n7)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n8)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n9)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(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)))),
% 0.25/0.52 inference(elim_unused_vars,[status(thm)],[])).
% 0.25/0.52 tff(4,plain,
% 0.25/0.52 (?[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] : ((~(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)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n0)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n1)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n2)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n3)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n4)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n5)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n6)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n7)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n8)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n9)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(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)))),
% 0.25/0.53 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.25/0.53 tff(5,plain,
% 0.25/0.53 (?[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] : ((~(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)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n0)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n1)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n2)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n3)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n4)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n5)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n6)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n7)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n8)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n9)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(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)))),
% 0.25/0.55 inference(transitivity,[status(thm)],[4, 3])).
% 0.25/0.55 tff(6,plain,
% 0.25/0.55 (^[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)))))),
% 2.96/3.15 inference(bind,[status(th)],[])).
% 2.96/3.15 tff(7,plain,
% 2.96/3.15 (?[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)))),
% 2.96/3.16 inference(quant_intro,[status(thm)],[6])).
% 2.96/3.16 tff(8,plain,
% 2.96/3.16 (?[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] : ((~(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)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n0)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n1)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n2)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n3)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n4)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n5)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n6)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n7)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n8)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n9)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(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)))),
% 2.96/3.17 inference(transitivity,[status(thm)],[7, 5])).
% 2.96/3.17 tff(9,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')).
% 2.96/3.17 tff(10,plain,
% 2.96/3.17 (?[X: $i, Y: $i] : ((~(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)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n0)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n1)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n2)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n3)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n4)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n5)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n6)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n7)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n8)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n9)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(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)))),
% 2.96/3.18 inference(modus_ponens,[status(thm)],[9, 8])).
% 2.96/3.18 tff(11,plain,
% 2.96/3.18 (?[X: $i, Y: $i] : ((~(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)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n0)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n1)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n2)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n3)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n4)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n5)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n6)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n7)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n8)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n9)) & (~(sum(pred(sum(X, succ(Y))), sum(Y, pred(sum(X, Y)))) = n10)) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(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)))),
% 2.96/3.18 inference(modus_ponens,[status(thm)],[10, 2])).
% 2.96/3.18 tff(12,plain,(
% 2.96/3.18 (~(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!1 = n10) | (X!1 = n9) | (X!1 = n8) | (X!1 = n7) | (X!1 = n6) | (X!1 = n5) | (X!1 = n4) | (X!1 = n3) | (X!1 = n2) | (X!1 = n1) | (X!1 = n0)) & ((Y!0 = n10) | (Y!0 = n9) | (Y!0 = n8) | (Y!0 = n7) | (Y!0 = n6) | (Y!0 = n5) | (Y!0 = n4) | (Y!0 = n3) | (Y!0 = n2) | (Y!0 = n1) | (Y!0 = n0)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!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))),
% 2.96/3.18 inference(skolemize,[status(sab)],[11])).
% 2.96/3.18 tff(13,plain,
% 2.96/3.18 ((~(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!1 = n6) | (X!1 = n10) | (X!1 = n8) | (X!1 = n9) | (X!1 = n7) | (X!1 = n5) | (X!1 = n4) | (X!1 = n3) | (X!1 = n2) | (X!1 = n1) | (X!1 = n0)) & ((Y!0 = n10) | (Y!0 = n9) | (Y!0 = n8) | (Y!0 = n7) | (Y!0 = n6) | (Y!0 = n5) | (Y!0 = n4) | (Y!0 = n3) | (Y!0 = n2) | (Y!0 = n1) | (Y!0 = n0)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9)) & (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!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))),
% 3.04/3.19 inference(modus_ponens,[status(thm)],[12, 1])).
% 3.04/3.19 tff(14,plain,
% 3.04/3.19 (sum(n4, n0) = n4),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(15,plain,
% 3.04/3.19 (sum(n8, n3) = n0),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(16,plain,
% 3.04/3.19 (pred(n4) = n3),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(17,plain,
% 3.04/3.19 (sum(n7, n8) = n4),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(18,plain,
% 3.04/3.19 (sum(n6, n1) = n7),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(19,plain,
% 3.04/3.19 (sum(n7, n5) = n1),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(20,plain,
% 3.04/3.19 (pred(n6) = n5),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(21,plain,
% 3.04/3.19 (sum(n10, n7) = n6),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(22,assumption,(Y!0 = n7), introduced(assumption)).
% 3.04/3.19 tff(23,plain,
% 3.04/3.19 (sum(n3, n9) = n1),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(24,plain,
% 3.04/3.19 (sum(n7, n2) = n9),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(25,plain,
% 3.04/3.19 (pred(n3) = n2),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(26,plain,
% 3.04/3.19 (sum(n7, n7) = n3),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(27,assumption,(X!1 = n7), introduced(assumption)).
% 3.04/3.19 tff(28,plain,
% 3.04/3.19 (sum(X!1, Y!0) = sum(n7, n7)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[27, 22])).
% 3.04/3.19 tff(29,plain,
% 3.04/3.19 (sum(X!1, Y!0) = n3),
% 3.04/3.19 inference(transitivity,[status(thm)],[28, 26])).
% 3.04/3.19 tff(30,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = pred(n3)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[29])).
% 3.04/3.19 tff(31,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = n2),
% 3.04/3.19 inference(transitivity,[status(thm)],[30, 25])).
% 3.04/3.19 tff(32,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n7, n2)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[22, 31])).
% 3.04/3.19 tff(33,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = n9),
% 3.04/3.19 inference(transitivity,[status(thm)],[32, 24])).
% 3.04/3.19 tff(34,plain,
% 3.04/3.19 (succ(n7) = n8),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(35,plain,
% 3.04/3.19 (succ(Y!0) = succ(n7)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[22])).
% 3.04/3.19 tff(36,plain,
% 3.04/3.19 (succ(Y!0) = n8),
% 3.04/3.19 inference(transitivity,[status(thm)],[35, 34])).
% 3.04/3.19 tff(37,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = sum(n7, n8)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[27, 36])).
% 3.04/3.19 tff(38,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = n4),
% 3.04/3.19 inference(transitivity,[status(thm)],[37, 17])).
% 3.04/3.19 tff(39,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = pred(n4)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[38])).
% 3.04/3.19 tff(40,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = n3),
% 3.04/3.19 inference(transitivity,[status(thm)],[39, 16])).
% 3.04/3.19 tff(41,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n3, n9)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[40, 33])).
% 3.04/3.19 tff(42,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1),
% 3.04/3.19 inference(transitivity,[status(thm)],[41, 23])).
% 3.04/3.19 tff(43,plain,
% 3.04/3.19 (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1)),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(44,plain,
% 3.04/3.19 ($false),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[43, 42])).
% 3.04/3.19 tff(45,plain,((~(X!1 = n7)) | (~(Y!0 = n7))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.19 tff(46,plain,
% 3.04/3.19 (~(X!1 = n7)),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[45, 22])).
% 3.04/3.19 tff(47,plain,
% 3.04/3.19 (sum(n4, n10) = n3),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(48,plain,
% 3.04/3.19 (sum(n7, n3) = n10),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(49,plain,
% 3.04/3.19 (sum(n8, n7) = n4),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(50,assumption,(X!1 = n8), introduced(assumption)).
% 3.04/3.19 tff(51,plain,
% 3.04/3.19 (sum(n5, n1) = n6),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(52,plain,
% 3.04/3.19 (sum(n8, n4) = n1),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(53,plain,
% 3.04/3.19 (pred(n5) = n4),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(54,plain,
% 3.04/3.19 (sum(n8, n8) = n5),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(55,assumption,(Y!0 = n8), introduced(assumption)).
% 3.04/3.19 tff(56,plain,
% 3.04/3.19 (sum(X!1, Y!0) = sum(n8, n8)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[50, 55])).
% 3.04/3.19 tff(57,plain,
% 3.04/3.19 (sum(X!1, Y!0) = n5),
% 3.04/3.19 inference(transitivity,[status(thm)],[56, 54])).
% 3.04/3.19 tff(58,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = pred(n5)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[57])).
% 3.04/3.19 tff(59,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = n4),
% 3.04/3.19 inference(transitivity,[status(thm)],[58, 53])).
% 3.04/3.19 tff(60,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n8, n4)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[55, 59])).
% 3.04/3.19 tff(61,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = n1),
% 3.04/3.19 inference(transitivity,[status(thm)],[60, 52])).
% 3.04/3.19 tff(62,plain,
% 3.04/3.19 (sum(n8, n9) = n6),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(63,plain,
% 3.04/3.19 (succ(n8) = n9),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(64,plain,
% 3.04/3.19 (succ(Y!0) = succ(n8)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[55])).
% 3.04/3.19 tff(65,plain,
% 3.04/3.19 (succ(Y!0) = n9),
% 3.04/3.19 inference(transitivity,[status(thm)],[64, 63])).
% 3.04/3.19 tff(66,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = sum(n8, n9)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[50, 65])).
% 3.04/3.19 tff(67,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = n6),
% 3.04/3.19 inference(transitivity,[status(thm)],[66, 62])).
% 3.04/3.19 tff(68,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = pred(n6)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[67])).
% 3.04/3.19 tff(69,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = n5),
% 3.04/3.19 inference(transitivity,[status(thm)],[68, 20])).
% 3.04/3.19 tff(70,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n5, n1)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[69, 61])).
% 3.04/3.19 tff(71,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6),
% 3.04/3.19 inference(transitivity,[status(thm)],[70, 51])).
% 3.04/3.19 tff(72,plain,
% 3.04/3.19 (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6)),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(73,plain,
% 3.04/3.19 ($false),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[72, 71])).
% 3.04/3.19 tff(74,plain,((~(Y!0 = n8)) | (~(X!1 = n8))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.19 tff(75,plain,
% 3.04/3.19 (~(Y!0 = n8)),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[74, 50])).
% 3.04/3.19 tff(76,plain,
% 3.04/3.19 (sum(n3, n8) = n0),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(77,plain,
% 3.04/3.19 (sum(n6, n2) = n8),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(78,plain,
% 3.04/3.19 (sum(n8, n6) = n3),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(79,assumption,(Y!0 = n6), introduced(assumption)).
% 3.04/3.19 tff(80,plain,
% 3.04/3.19 (sum(n2, n7) = n9),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(81,plain,
% 3.04/3.19 (pred(n2) = n1),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(82,plain,
% 3.04/3.19 (sum(n7, n6) = n2),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(83,plain,
% 3.04/3.19 (sum(X!1, Y!0) = sum(n7, n6)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[27, 79])).
% 3.04/3.19 tff(84,plain,
% 3.04/3.19 (sum(X!1, Y!0) = n2),
% 3.04/3.19 inference(transitivity,[status(thm)],[83, 82])).
% 3.04/3.19 tff(85,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = pred(n2)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[84])).
% 3.04/3.19 tff(86,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = n1),
% 3.04/3.19 inference(transitivity,[status(thm)],[85, 81])).
% 3.04/3.19 tff(87,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n6, n1)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[79, 86])).
% 3.04/3.19 tff(88,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = n7),
% 3.04/3.19 inference(transitivity,[status(thm)],[87, 18])).
% 3.04/3.19 tff(89,plain,
% 3.04/3.19 (succ(n6) = n7),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(90,plain,
% 3.04/3.19 (succ(Y!0) = succ(n6)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[79])).
% 3.04/3.19 tff(91,plain,
% 3.04/3.19 (succ(Y!0) = n7),
% 3.04/3.19 inference(transitivity,[status(thm)],[90, 89])).
% 3.04/3.19 tff(92,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = sum(n7, n7)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[27, 91])).
% 3.04/3.19 tff(93,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = n3),
% 3.04/3.19 inference(transitivity,[status(thm)],[92, 26])).
% 3.04/3.19 tff(94,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = pred(n3)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[93])).
% 3.04/3.19 tff(95,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = n2),
% 3.04/3.19 inference(transitivity,[status(thm)],[94, 25])).
% 3.04/3.19 tff(96,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n2, n7)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[95, 88])).
% 3.04/3.19 tff(97,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9),
% 3.04/3.19 inference(transitivity,[status(thm)],[96, 80])).
% 3.04/3.19 tff(98,plain,
% 3.04/3.19 (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9)),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(99,plain,
% 3.04/3.19 ($false),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[98, 97])).
% 3.04/3.19 tff(100,plain,((~(X!1 = n7)) | (~(Y!0 = n6))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.19 tff(101,plain,
% 3.04/3.19 (~(X!1 = n7)),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[100, 79])).
% 3.04/3.19 tff(102,plain,
% 3.04/3.19 (sum(n5, n10) = n4),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(103,plain,
% 3.04/3.19 (sum(n6, n4) = n10),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(104,plain,
% 3.04/3.19 (sum(n10, n6) = n5),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(105,assumption,(X!1 = n10), introduced(assumption)).
% 3.04/3.19 tff(106,plain,
% 3.04/3.19 (sum(X!1, Y!0) = sum(n10, n6)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[105, 79])).
% 3.04/3.19 tff(107,plain,
% 3.04/3.19 (sum(X!1, Y!0) = n5),
% 3.04/3.19 inference(transitivity,[status(thm)],[106, 104])).
% 3.04/3.19 tff(108,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = pred(n5)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[107])).
% 3.04/3.19 tff(109,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = n4),
% 3.04/3.19 inference(transitivity,[status(thm)],[108, 53])).
% 3.04/3.19 tff(110,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n6, n4)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[79, 109])).
% 3.04/3.19 tff(111,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = n10),
% 3.04/3.19 inference(transitivity,[status(thm)],[110, 103])).
% 3.04/3.19 tff(112,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = sum(n10, n7)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[105, 91])).
% 3.04/3.19 tff(113,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = n6),
% 3.04/3.19 inference(transitivity,[status(thm)],[112, 21])).
% 3.04/3.19 tff(114,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = pred(n6)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[113])).
% 3.04/3.19 tff(115,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = n5),
% 3.04/3.19 inference(transitivity,[status(thm)],[114, 20])).
% 3.04/3.19 tff(116,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n5, n10)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[115, 111])).
% 3.04/3.19 tff(117,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4),
% 3.04/3.19 inference(transitivity,[status(thm)],[116, 102])).
% 3.04/3.19 tff(118,plain,
% 3.04/3.19 (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4)),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(119,plain,
% 3.04/3.19 ($false),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[118, 117])).
% 3.04/3.19 tff(120,plain,((~(X!1 = n10)) | (~(Y!0 = n6))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.19 tff(121,plain,
% 3.04/3.19 (~(X!1 = n10)),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[120, 79])).
% 3.04/3.19 tff(122,plain,
% 3.04/3.19 (sum(n4, n9) = n2),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(123,plain,
% 3.04/3.19 (sum(n6, n3) = n9),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(124,plain,
% 3.04/3.19 (sum(n9, n6) = n4),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(125,assumption,(X!1 = n9), introduced(assumption)).
% 3.04/3.19 tff(126,plain,
% 3.04/3.19 (sum(n8, n5) = n2),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(127,plain,
% 3.04/3.19 (sum(n9, n8) = n6),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(128,plain,
% 3.04/3.19 (sum(X!1, Y!0) = sum(n9, n8)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[125, 55])).
% 3.04/3.19 tff(129,plain,
% 3.04/3.19 (sum(X!1, Y!0) = n6),
% 3.04/3.19 inference(transitivity,[status(thm)],[128, 127])).
% 3.04/3.19 tff(130,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = pred(n6)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[129])).
% 3.04/3.19 tff(131,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = n5),
% 3.04/3.19 inference(transitivity,[status(thm)],[130, 20])).
% 3.04/3.19 tff(132,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n8, n5)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[55, 131])).
% 3.04/3.19 tff(133,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = n2),
% 3.04/3.19 inference(transitivity,[status(thm)],[132, 126])).
% 3.04/3.19 tff(134,plain,
% 3.04/3.19 (pred(n7) = n6),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(135,plain,
% 3.04/3.19 (sum(n9, n9) = n7),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(136,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = sum(n9, n9)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[125, 65])).
% 3.04/3.19 tff(137,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = n7),
% 3.04/3.19 inference(transitivity,[status(thm)],[136, 135])).
% 3.04/3.19 tff(138,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = pred(n7)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[137])).
% 3.04/3.19 tff(139,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = n6),
% 3.04/3.19 inference(transitivity,[status(thm)],[138, 134])).
% 3.04/3.19 tff(140,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n6, n2)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[139, 133])).
% 3.04/3.19 tff(141,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8),
% 3.04/3.19 inference(transitivity,[status(thm)],[140, 77])).
% 3.04/3.19 tff(142,plain,
% 3.04/3.19 (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8)),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(143,plain,
% 3.04/3.19 ($false),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[142, 141])).
% 3.04/3.19 tff(144,plain,((~(Y!0 = n8)) | (~(X!1 = n9))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.19 tff(145,plain,
% 3.04/3.19 (~(Y!0 = n8)),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[144, 125])).
% 3.04/3.19 tff(146,plain,
% 3.04/3.19 (sum(n5, n0) = n5),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(147,plain,
% 3.04/3.19 (sum(n7, n4) = n0),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(148,plain,
% 3.04/3.19 (sum(n9, n7) = n5),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(149,plain,
% 3.04/3.19 (sum(X!1, Y!0) = sum(n9, n7)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[125, 22])).
% 3.04/3.19 tff(150,plain,
% 3.04/3.19 (sum(X!1, Y!0) = n5),
% 3.04/3.19 inference(transitivity,[status(thm)],[149, 148])).
% 3.04/3.19 tff(151,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = pred(n5)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[150])).
% 3.04/3.19 tff(152,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = n4),
% 3.04/3.19 inference(transitivity,[status(thm)],[151, 53])).
% 3.04/3.19 tff(153,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n7, n4)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[22, 152])).
% 3.04/3.19 tff(154,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = n0),
% 3.04/3.19 inference(transitivity,[status(thm)],[153, 147])).
% 3.04/3.19 tff(155,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = sum(n9, n8)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[125, 36])).
% 3.04/3.19 tff(156,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = n6),
% 3.04/3.19 inference(transitivity,[status(thm)],[155, 127])).
% 3.04/3.19 tff(157,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = pred(n6)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[156])).
% 3.04/3.19 tff(158,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = n5),
% 3.04/3.19 inference(transitivity,[status(thm)],[157, 20])).
% 3.04/3.19 tff(159,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n5, n0)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[158, 154])).
% 3.04/3.19 tff(160,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5),
% 3.04/3.19 inference(transitivity,[status(thm)],[159, 146])).
% 3.04/3.19 tff(161,plain,
% 3.04/3.19 (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5)),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(162,plain,
% 3.04/3.19 ($false),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[161, 160])).
% 3.04/3.19 tff(163,plain,((~(Y!0 = n7)) | (~(X!1 = n9))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.19 tff(164,plain,
% 3.04/3.19 (~(Y!0 = n7)),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[163, 125])).
% 3.04/3.19 tff(165,assumption,(Y!0 = n9), introduced(assumption)).
% 3.04/3.19 tff(166,plain,
% 3.04/3.19 (pred(n8) = n7),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(167,plain,
% 3.04/3.19 (sum(n10, n9) = n8),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(168,plain,
% 3.04/3.19 (sum(X!1, Y!0) = sum(n10, n9)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[105, 165])).
% 3.04/3.19 tff(169,plain,
% 3.04/3.19 (sum(X!1, Y!0) = n8),
% 3.04/3.19 inference(transitivity,[status(thm)],[168, 167])).
% 3.04/3.19 tff(170,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = pred(n8)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[169])).
% 3.04/3.19 tff(171,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = n7),
% 3.04/3.19 inference(transitivity,[status(thm)],[170, 166])).
% 3.04/3.19 tff(172,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n9, n7)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[165, 171])).
% 3.04/3.19 tff(173,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = n5),
% 3.04/3.19 inference(transitivity,[status(thm)],[172, 148])).
% 3.04/3.19 tff(174,plain,
% 3.04/3.19 (pred(n9) = n8),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(175,plain,
% 3.04/3.19 (sum(n10, n10) = n9),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(176,plain,
% 3.04/3.19 (succ(n9) = n10),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(177,plain,
% 3.04/3.19 (succ(Y!0) = succ(n9)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[165])).
% 3.04/3.19 tff(178,plain,
% 3.04/3.19 (succ(Y!0) = n10),
% 3.04/3.19 inference(transitivity,[status(thm)],[177, 176])).
% 3.04/3.19 tff(179,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = sum(n10, n10)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[105, 178])).
% 3.04/3.19 tff(180,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = n9),
% 3.04/3.19 inference(transitivity,[status(thm)],[179, 175])).
% 3.04/3.19 tff(181,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = pred(n9)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[180])).
% 3.04/3.19 tff(182,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = n8),
% 3.04/3.19 inference(transitivity,[status(thm)],[181, 174])).
% 3.04/3.19 tff(183,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n8, n5)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[182, 173])).
% 3.04/3.19 tff(184,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2),
% 3.04/3.19 inference(transitivity,[status(thm)],[183, 126])).
% 3.04/3.19 tff(185,plain,
% 3.04/3.19 (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2)),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(186,plain,
% 3.04/3.19 ($false),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[185, 184])).
% 3.04/3.19 tff(187,plain,((~(X!1 = n10)) | (~(Y!0 = n9))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.19 tff(188,plain,
% 3.04/3.19 (~(X!1 = n10)),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[187, 165])).
% 3.04/3.19 tff(189,plain,
% 3.04/3.19 (sum(n5, n2) = n7),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(190,plain,
% 3.04/3.19 (sum(n9, n4) = n2),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(191,plain,
% 3.04/3.19 (sum(n7, n9) = n5),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(192,plain,
% 3.04/3.19 (sum(X!1, Y!0) = sum(n7, n9)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[27, 165])).
% 3.04/3.19 tff(193,plain,
% 3.04/3.19 (sum(X!1, Y!0) = n5),
% 3.04/3.19 inference(transitivity,[status(thm)],[192, 191])).
% 3.04/3.19 tff(194,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = pred(n5)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[193])).
% 3.04/3.19 tff(195,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = n4),
% 3.04/3.19 inference(transitivity,[status(thm)],[194, 53])).
% 3.04/3.19 tff(196,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n9, n4)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[165, 195])).
% 3.04/3.19 tff(197,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = n2),
% 3.04/3.19 inference(transitivity,[status(thm)],[196, 190])).
% 3.04/3.19 tff(198,plain,
% 3.04/3.19 (sum(n7, n10) = n6),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(199,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = sum(n7, n10)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[27, 178])).
% 3.04/3.19 tff(200,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = n6),
% 3.04/3.19 inference(transitivity,[status(thm)],[199, 198])).
% 3.04/3.19 tff(201,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = pred(n6)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[200])).
% 3.04/3.19 tff(202,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = n5),
% 3.04/3.19 inference(transitivity,[status(thm)],[201, 20])).
% 3.04/3.19 tff(203,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n5, n2)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[202, 197])).
% 3.04/3.19 tff(204,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7),
% 3.04/3.19 inference(transitivity,[status(thm)],[203, 189])).
% 3.04/3.19 tff(205,plain,
% 3.04/3.19 (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7)),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(206,plain,
% 3.04/3.19 ($false),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[205, 204])).
% 3.04/3.19 tff(207,plain,((~(Y!0 = n9)) | (~(X!1 = n7))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.19 tff(208,plain,
% 3.04/3.19 (~(X!1 = n7)),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[207, 165])).
% 3.04/3.19 tff(209,plain,
% 3.04/3.19 (sum(n9, n5) = n3),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(210,plain,
% 3.04/3.19 (sum(X!1, Y!0) = sum(n8, n9)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[50, 165])).
% 3.04/3.19 tff(211,plain,
% 3.04/3.19 (sum(X!1, Y!0) = n6),
% 3.04/3.19 inference(transitivity,[status(thm)],[210, 62])).
% 3.04/3.19 tff(212,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = pred(n6)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[211])).
% 3.04/3.19 tff(213,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = n5),
% 3.04/3.19 inference(transitivity,[status(thm)],[212, 20])).
% 3.04/3.19 tff(214,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n9, n5)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[165, 213])).
% 3.04/3.19 tff(215,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = n3),
% 3.04/3.19 inference(transitivity,[status(thm)],[214, 209])).
% 3.04/3.19 tff(216,plain,
% 3.04/3.19 (sum(n8, n10) = n7),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(217,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = sum(n8, n10)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[50, 178])).
% 3.04/3.19 tff(218,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = n7),
% 3.04/3.19 inference(transitivity,[status(thm)],[217, 216])).
% 3.04/3.19 tff(219,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = pred(n7)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[218])).
% 3.04/3.19 tff(220,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = n6),
% 3.04/3.19 inference(transitivity,[status(thm)],[219, 134])).
% 3.04/3.19 tff(221,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n6, n3)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[220, 215])).
% 3.04/3.19 tff(222,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9),
% 3.04/3.19 inference(transitivity,[status(thm)],[221, 123])).
% 3.04/3.19 tff(223,plain,
% 3.04/3.19 ($false),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[98, 222])).
% 3.04/3.19 tff(224,plain,((~(X!1 = n8)) | (~(Y!0 = n9))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.19 tff(225,plain,
% 3.04/3.19 (~(X!1 = n8)),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[224, 165])).
% 3.04/3.19 tff(226,plain,
% 3.04/3.19 (sum(n4, n1) = n5),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(227,plain,
% 3.04/3.19 (sum(n9, n3) = n1),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(228,plain,
% 3.04/3.19 (sum(n6, n9) = n4),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(229,assumption,(X!1 = n6), introduced(assumption)).
% 3.04/3.19 tff(230,plain,
% 3.04/3.19 (sum(n2, n8) = n10),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(231,plain,
% 3.04/3.19 (sum(n7, n1) = n8),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(232,plain,
% 3.04/3.19 (sum(n6, n7) = n2),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(233,plain,
% 3.04/3.19 (sum(X!1, Y!0) = sum(n6, n7)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[229, 22])).
% 3.04/3.19 tff(234,plain,
% 3.04/3.19 (sum(X!1, Y!0) = n2),
% 3.04/3.19 inference(transitivity,[status(thm)],[233, 232])).
% 3.04/3.19 tff(235,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = pred(n2)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[234])).
% 3.04/3.19 tff(236,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = n1),
% 3.04/3.19 inference(transitivity,[status(thm)],[235, 81])).
% 3.04/3.19 tff(237,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n7, n1)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[22, 236])).
% 3.04/3.19 tff(238,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = n8),
% 3.04/3.19 inference(transitivity,[status(thm)],[237, 231])).
% 3.04/3.19 tff(239,plain,
% 3.04/3.19 (sum(n6, n8) = n3),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(240,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = sum(n6, n8)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[229, 36])).
% 3.04/3.19 tff(241,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = n3),
% 3.04/3.19 inference(transitivity,[status(thm)],[240, 239])).
% 3.04/3.19 tff(242,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = pred(n3)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[241])).
% 3.04/3.19 tff(243,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = n2),
% 3.04/3.19 inference(transitivity,[status(thm)],[242, 25])).
% 3.04/3.19 tff(244,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n2, n8)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[243, 238])).
% 3.04/3.19 tff(245,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n10),
% 3.04/3.19 inference(transitivity,[status(thm)],[244, 230])).
% 3.04/3.19 tff(246,plain,
% 3.04/3.19 (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n10)),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(247,plain,
% 3.04/3.19 ($false),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[246, 245])).
% 3.04/3.19 tff(248,plain,((~(Y!0 = n7)) | (~(X!1 = n6))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.19 tff(249,plain,
% 3.04/3.19 (~(Y!0 = n7)),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[248, 229])).
% 3.04/3.19 tff(250,plain,
% 3.04/3.19 (sum(n3, n10) = n2),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(251,plain,
% 3.04/3.19 (sum(n8, n2) = n10),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(252,plain,
% 3.04/3.19 (sum(X!1, Y!0) = sum(n6, n8)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[229, 55])).
% 3.04/3.19 tff(253,plain,
% 3.04/3.19 (sum(X!1, Y!0) = n3),
% 3.04/3.19 inference(transitivity,[status(thm)],[252, 239])).
% 3.04/3.19 tff(254,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = pred(n3)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[253])).
% 3.04/3.19 tff(255,plain,
% 3.04/3.19 (pred(sum(X!1, Y!0)) = n2),
% 3.04/3.19 inference(transitivity,[status(thm)],[254, 25])).
% 3.04/3.19 tff(256,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n8, n2)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[55, 255])).
% 3.04/3.19 tff(257,plain,
% 3.04/3.19 (sum(Y!0, pred(sum(X!1, Y!0))) = n10),
% 3.04/3.19 inference(transitivity,[status(thm)],[256, 251])).
% 3.04/3.19 tff(258,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = sum(n6, n9)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[229, 65])).
% 3.04/3.19 tff(259,plain,
% 3.04/3.19 (sum(X!1, succ(Y!0)) = n4),
% 3.04/3.19 inference(transitivity,[status(thm)],[258, 228])).
% 3.04/3.19 tff(260,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = pred(n4)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[259])).
% 3.04/3.19 tff(261,plain,
% 3.04/3.19 (pred(sum(X!1, succ(Y!0))) = n3),
% 3.04/3.19 inference(transitivity,[status(thm)],[260, 16])).
% 3.04/3.19 tff(262,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n3, n10)),
% 3.04/3.19 inference(monotonicity,[status(thm)],[261, 257])).
% 3.04/3.19 tff(263,plain,
% 3.04/3.19 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2),
% 3.04/3.19 inference(transitivity,[status(thm)],[262, 250])).
% 3.04/3.19 tff(264,plain,
% 3.04/3.19 ($false),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[185, 263])).
% 3.04/3.19 tff(265,plain,((~(Y!0 = n8)) | (~(X!1 = n6))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.19 tff(266,plain,
% 3.04/3.19 (~(Y!0 = n8)),
% 3.04/3.19 inference(unit_resolution,[status(thm)],[265, 229])).
% 3.04/3.19 tff(267,plain,
% 3.04/3.19 (sum(n1, n6) = n7),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(268,plain,
% 3.04/3.19 (sum(n6, n0) = n6),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.19 tff(269,plain,
% 3.04/3.19 (pred(n1) = n0),
% 3.04/3.19 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(270,plain,
% 3.04/3.20 (sum(n6, n6) = n1),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(271,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n6, n6)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[229, 79])).
% 3.04/3.20 tff(272,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[271, 270])).
% 3.04/3.20 tff(273,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n1)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[272])).
% 3.04/3.20 tff(274,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[273, 269])).
% 3.04/3.20 tff(275,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n6, n0)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[79, 274])).
% 3.04/3.20 tff(276,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n6),
% 3.04/3.20 inference(transitivity,[status(thm)],[275, 268])).
% 3.04/3.20 tff(277,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n6, n7)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[229, 91])).
% 3.04/3.20 tff(278,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n2),
% 3.04/3.20 inference(transitivity,[status(thm)],[277, 232])).
% 3.04/3.20 tff(279,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[278])).
% 3.04/3.20 tff(280,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[279, 81])).
% 3.04/3.20 tff(281,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n1, n6)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[280, 276])).
% 3.04/3.20 tff(282,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7),
% 3.04/3.20 inference(transitivity,[status(thm)],[281, 267])).
% 3.04/3.20 tff(283,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[205, 282])).
% 3.04/3.20 tff(284,plain,((~(Y!0 = n6)) | (~(X!1 = n6))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(285,plain,
% 3.04/3.20 (~(Y!0 = n6)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[284, 229])).
% 3.04/3.20 tff(286,plain,
% 3.04/3.20 (sum(n9, n10) = n8),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(287,assumption,(Y!0 = n2), introduced(assumption)).
% 3.04/3.20 tff(288,plain,
% 3.04/3.20 (sum(n10, n0) = n10),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(289,plain,
% 3.04/3.20 (sum(n2, n9) = n0),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(290,plain,
% 3.04/3.20 (pred(n10) = n9),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(291,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n8, n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[50, 287])).
% 3.04/3.20 tff(292,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n10),
% 3.04/3.20 inference(transitivity,[status(thm)],[291, 251])).
% 3.04/3.20 tff(293,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n10)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[292])).
% 3.04/3.20 tff(294,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n9),
% 3.04/3.20 inference(transitivity,[status(thm)],[293, 290])).
% 3.04/3.20 tff(295,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n2, n9)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[287, 294])).
% 3.04/3.20 tff(296,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[295, 289])).
% 3.04/3.20 tff(297,plain,
% 3.04/3.20 (pred(n0) = n10),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(298,plain,
% 3.04/3.20 (succ(n2) = n3),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(299,plain,
% 3.04/3.20 (succ(Y!0) = succ(n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[287])).
% 3.04/3.20 tff(300,plain,
% 3.04/3.20 (succ(Y!0) = n3),
% 3.04/3.20 inference(transitivity,[status(thm)],[299, 298])).
% 3.04/3.20 tff(301,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n8, n3)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[50, 300])).
% 3.04/3.20 tff(302,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[301, 15])).
% 3.04/3.20 tff(303,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n0)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[302])).
% 3.04/3.20 tff(304,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n10),
% 3.04/3.20 inference(transitivity,[status(thm)],[303, 297])).
% 3.04/3.20 tff(305,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n10, n0)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[304, 296])).
% 3.04/3.20 tff(306,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n10),
% 3.04/3.20 inference(transitivity,[status(thm)],[305, 288])).
% 3.04/3.20 tff(307,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[246, 306])).
% 3.04/3.20 tff(308,plain,((~(X!1 = n8)) | (~(Y!0 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(309,plain,
% 3.04/3.20 (~(X!1 = n8)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[308, 287])).
% 3.04/3.20 tff(310,plain,
% 3.04/3.20 (sum(n1, n2) = n3),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(311,plain,
% 3.04/3.20 (sum(n2, n0) = n2),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(312,plain,
% 3.04/3.20 (sum(n10, n2) = n1),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(313,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n10, n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[105, 287])).
% 3.04/3.20 tff(314,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[313, 312])).
% 3.04/3.20 tff(315,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n1)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[314])).
% 3.04/3.20 tff(316,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[315, 269])).
% 3.04/3.20 tff(317,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n2, n0)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[287, 316])).
% 3.04/3.20 tff(318,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n2),
% 3.04/3.20 inference(transitivity,[status(thm)],[317, 311])).
% 3.04/3.20 tff(319,plain,
% 3.04/3.20 (sum(n10, n3) = n2),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(320,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n10, n3)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[105, 300])).
% 3.04/3.20 tff(321,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n2),
% 3.04/3.20 inference(transitivity,[status(thm)],[320, 319])).
% 3.04/3.20 tff(322,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[321])).
% 3.04/3.20 tff(323,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[322, 81])).
% 3.04/3.20 tff(324,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n1, n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[323, 318])).
% 3.04/3.20 tff(325,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3),
% 3.04/3.20 inference(transitivity,[status(thm)],[324, 310])).
% 3.04/3.20 tff(326,plain,
% 3.04/3.20 (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3)),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(327,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[326, 325])).
% 3.04/3.20 tff(328,plain,((~(X!1 = n10)) | (~(Y!0 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(329,plain,
% 3.04/3.20 (~(X!1 = n10)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[328, 287])).
% 3.04/3.20 tff(330,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n6, n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[229, 287])).
% 3.04/3.20 tff(331,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n8),
% 3.04/3.20 inference(transitivity,[status(thm)],[330, 77])).
% 3.04/3.20 tff(332,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n8)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[331])).
% 3.04/3.20 tff(333,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n7),
% 3.04/3.20 inference(transitivity,[status(thm)],[332, 166])).
% 3.04/3.20 tff(334,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n2, n7)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[287, 333])).
% 3.04/3.20 tff(335,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n9),
% 3.04/3.20 inference(transitivity,[status(thm)],[334, 80])).
% 3.04/3.20 tff(336,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n6, n3)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[229, 300])).
% 3.04/3.20 tff(337,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n9),
% 3.04/3.20 inference(transitivity,[status(thm)],[336, 123])).
% 3.04/3.20 tff(338,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n9)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[337])).
% 3.04/3.20 tff(339,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n8),
% 3.04/3.20 inference(transitivity,[status(thm)],[338, 174])).
% 3.04/3.20 tff(340,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n8, n9)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[339, 335])).
% 3.04/3.20 tff(341,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6),
% 3.04/3.20 inference(transitivity,[status(thm)],[340, 62])).
% 3.04/3.20 tff(342,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[72, 341])).
% 3.04/3.20 tff(343,plain,((~(X!1 = n6)) | (~(Y!0 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(344,plain,
% 3.04/3.20 (~(X!1 = n6)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[343, 287])).
% 3.04/3.20 tff(345,plain,
% 3.04/3.20 (sum(n0, n1) = n1),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(346,plain,
% 3.04/3.20 (sum(n2, n10) = n1),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(347,plain,
% 3.04/3.20 (sum(n9, n2) = n0),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(348,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n9, n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[125, 287])).
% 3.04/3.20 tff(349,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[348, 347])).
% 3.04/3.20 tff(350,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n0)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[349])).
% 3.04/3.20 tff(351,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n10),
% 3.04/3.20 inference(transitivity,[status(thm)],[350, 297])).
% 3.04/3.20 tff(352,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n2, n10)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[287, 351])).
% 3.04/3.20 tff(353,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[352, 346])).
% 3.04/3.20 tff(354,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n9, n3)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[125, 300])).
% 3.04/3.20 tff(355,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[354, 227])).
% 3.04/3.20 tff(356,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n1)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[355])).
% 3.04/3.20 tff(357,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[356, 269])).
% 3.04/3.20 tff(358,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n0, n1)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[357, 353])).
% 3.04/3.20 tff(359,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[358, 345])).
% 3.04/3.20 tff(360,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[43, 359])).
% 3.04/3.20 tff(361,plain,((~(X!1 = n9)) | (~(Y!0 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(362,plain,
% 3.04/3.20 (~(X!1 = n9)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[361, 287])).
% 3.04/3.20 tff(363,plain,
% 3.04/3.20 (sum(n2, n6) = n8),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(364,assumption,(X!1 = n5), introduced(assumption)).
% 3.04/3.20 tff(365,plain,
% 3.04/3.20 (sum(n1, n7) = n8),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(366,plain,
% 3.04/3.20 (sum(n7, n0) = n7),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(367,plain,
% 3.04/3.20 (sum(n5, n7) = n1),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(368,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n5, n7)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[364, 22])).
% 3.04/3.20 tff(369,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[368, 367])).
% 3.04/3.20 tff(370,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n1)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[369])).
% 3.04/3.20 tff(371,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[370, 269])).
% 3.04/3.20 tff(372,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n7, n0)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[22, 371])).
% 3.04/3.20 tff(373,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n7),
% 3.04/3.20 inference(transitivity,[status(thm)],[372, 366])).
% 3.04/3.20 tff(374,plain,
% 3.04/3.20 (sum(n5, n8) = n2),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(375,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n5, n8)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[364, 36])).
% 3.04/3.20 tff(376,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n2),
% 3.04/3.20 inference(transitivity,[status(thm)],[375, 374])).
% 3.04/3.20 tff(377,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[376])).
% 3.04/3.20 tff(378,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[377, 81])).
% 3.04/3.20 tff(379,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n1, n7)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[378, 373])).
% 3.04/3.20 tff(380,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8),
% 3.04/3.20 inference(transitivity,[status(thm)],[379, 365])).
% 3.04/3.20 tff(381,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[142, 380])).
% 3.04/3.20 tff(382,plain,((~(Y!0 = n7)) | (~(X!1 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(383,plain,
% 3.04/3.20 (~(Y!0 = n7)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[382, 364])).
% 3.04/3.20 tff(384,plain,
% 3.04/3.20 (sum(n8, n1) = n9),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(385,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n5, n8)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[364, 55])).
% 3.04/3.20 tff(386,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n2),
% 3.04/3.20 inference(transitivity,[status(thm)],[385, 374])).
% 3.04/3.20 tff(387,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[386])).
% 3.04/3.20 tff(388,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[387, 81])).
% 3.04/3.20 tff(389,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n8, n1)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[55, 388])).
% 3.04/3.20 tff(390,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n9),
% 3.04/3.20 inference(transitivity,[status(thm)],[389, 384])).
% 3.04/3.20 tff(391,plain,
% 3.04/3.20 (sum(n5, n9) = n3),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(392,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n5, n9)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[364, 65])).
% 3.04/3.20 tff(393,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n3),
% 3.04/3.20 inference(transitivity,[status(thm)],[392, 391])).
% 3.04/3.20 tff(394,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n3)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[393])).
% 3.04/3.20 tff(395,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n2),
% 3.04/3.20 inference(transitivity,[status(thm)],[394, 25])).
% 3.04/3.20 tff(396,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n2, n9)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[395, 390])).
% 3.04/3.20 tff(397,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[396, 289])).
% 3.04/3.20 tff(398,plain,
% 3.04/3.20 (~(sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0)),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(399,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[398, 397])).
% 3.04/3.20 tff(400,plain,((~(Y!0 = n8)) | (~(X!1 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(401,plain,
% 3.04/3.20 (~(Y!0 = n8)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[400, 364])).
% 3.04/3.20 tff(402,plain,
% 3.04/3.20 (sum(n3, n0) = n3),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(403,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n5, n9)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[364, 165])).
% 3.04/3.20 tff(404,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n3),
% 3.04/3.20 inference(transitivity,[status(thm)],[403, 391])).
% 3.04/3.20 tff(405,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n3)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[404])).
% 3.04/3.20 tff(406,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n2),
% 3.04/3.20 inference(transitivity,[status(thm)],[405, 25])).
% 3.04/3.20 tff(407,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n9, n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[165, 406])).
% 3.04/3.20 tff(408,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[407, 347])).
% 3.04/3.20 tff(409,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n5, n10)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[364, 178])).
% 3.04/3.20 tff(410,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n4),
% 3.04/3.20 inference(transitivity,[status(thm)],[409, 102])).
% 3.04/3.20 tff(411,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n4)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[410])).
% 3.04/3.20 tff(412,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n3),
% 3.04/3.20 inference(transitivity,[status(thm)],[411, 16])).
% 3.04/3.20 tff(413,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n3, n0)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[412, 408])).
% 3.04/3.20 tff(414,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3),
% 3.04/3.20 inference(transitivity,[status(thm)],[413, 402])).
% 3.04/3.20 tff(415,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[326, 414])).
% 3.04/3.20 tff(416,plain,((~(Y!0 = n9)) | (~(X!1 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(417,plain,
% 3.04/3.20 (~(Y!0 = n9)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[416, 364])).
% 3.04/3.20 tff(418,plain,
% 3.04/3.20 (sum(n0, n5) = n5),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(419,plain,
% 3.04/3.20 (sum(n6, n10) = n5),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(420,plain,
% 3.04/3.20 (sum(n5, n6) = n0),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(421,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n5, n6)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[364, 79])).
% 3.04/3.20 tff(422,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[421, 420])).
% 3.04/3.20 tff(423,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n0)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[422])).
% 3.04/3.20 tff(424,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n10),
% 3.04/3.20 inference(transitivity,[status(thm)],[423, 297])).
% 3.04/3.20 tff(425,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n6, n10)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[79, 424])).
% 3.04/3.20 tff(426,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n5),
% 3.04/3.20 inference(transitivity,[status(thm)],[425, 419])).
% 3.04/3.20 tff(427,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n5, n7)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[364, 91])).
% 3.04/3.20 tff(428,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[427, 367])).
% 3.04/3.20 tff(429,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n1)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[428])).
% 3.04/3.20 tff(430,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[429, 269])).
% 3.04/3.20 tff(431,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n0, n5)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[430, 426])).
% 3.04/3.20 tff(432,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5),
% 3.04/3.20 inference(transitivity,[status(thm)],[431, 418])).
% 3.04/3.20 tff(433,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[161, 432])).
% 3.04/3.20 tff(434,plain,((~(Y!0 = n6)) | (~(X!1 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(435,plain,
% 3.04/3.20 (~(Y!0 = n6)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[434, 364])).
% 3.04/3.20 tff(436,plain,
% 3.04/3.20 (sum(n5, n5) = n10),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(437,assumption,(Y!0 = n5), introduced(assumption)).
% 3.04/3.20 tff(438,plain,
% 3.04/3.20 (sum(n3, n7) = n10),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(439,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n9, n5)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[125, 437])).
% 3.04/3.20 tff(440,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n3),
% 3.04/3.20 inference(transitivity,[status(thm)],[439, 209])).
% 3.04/3.20 tff(441,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n3)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[440])).
% 3.04/3.20 tff(442,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n2),
% 3.04/3.20 inference(transitivity,[status(thm)],[441, 25])).
% 3.04/3.20 tff(443,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n5, n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[437, 442])).
% 3.04/3.20 tff(444,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n7),
% 3.04/3.20 inference(transitivity,[status(thm)],[443, 189])).
% 3.04/3.20 tff(445,plain,
% 3.04/3.20 (succ(n5) = n6),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(446,plain,
% 3.04/3.20 (succ(Y!0) = succ(n5)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[437])).
% 3.04/3.20 tff(447,plain,
% 3.04/3.20 (succ(Y!0) = n6),
% 3.04/3.20 inference(transitivity,[status(thm)],[446, 445])).
% 3.04/3.20 tff(448,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n9, n6)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[125, 447])).
% 3.04/3.20 tff(449,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n4),
% 3.04/3.20 inference(transitivity,[status(thm)],[448, 124])).
% 3.04/3.20 tff(450,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n4)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[449])).
% 3.04/3.20 tff(451,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n3),
% 3.04/3.20 inference(transitivity,[status(thm)],[450, 16])).
% 3.04/3.20 tff(452,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n3, n7)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[451, 444])).
% 3.04/3.20 tff(453,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n10),
% 3.04/3.20 inference(transitivity,[status(thm)],[452, 438])).
% 3.04/3.20 tff(454,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[246, 453])).
% 3.04/3.20 tff(455,plain,((~(X!1 = n9)) | (~(Y!0 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(456,plain,
% 3.04/3.20 (~(X!1 = n9)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[455, 437])).
% 3.04/3.20 tff(457,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n8, n5)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[50, 437])).
% 3.04/3.20 tff(458,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n2),
% 3.04/3.20 inference(transitivity,[status(thm)],[457, 126])).
% 3.04/3.20 tff(459,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[458])).
% 3.04/3.20 tff(460,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[459, 81])).
% 3.04/3.20 tff(461,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n5, n1)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[437, 460])).
% 3.04/3.20 tff(462,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n6),
% 3.04/3.20 inference(transitivity,[status(thm)],[461, 51])).
% 3.04/3.20 tff(463,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n8, n6)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[50, 447])).
% 3.04/3.20 tff(464,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n3),
% 3.04/3.20 inference(transitivity,[status(thm)],[463, 78])).
% 3.04/3.20 tff(465,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n3)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[464])).
% 3.04/3.20 tff(466,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n2),
% 3.04/3.20 inference(transitivity,[status(thm)],[465, 25])).
% 3.04/3.20 tff(467,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n2, n6)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[466, 462])).
% 3.04/3.20 tff(468,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8),
% 3.04/3.20 inference(transitivity,[status(thm)],[467, 363])).
% 3.04/3.20 tff(469,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[142, 468])).
% 3.04/3.20 tff(470,plain,((~(X!1 = n8)) | (~(Y!0 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(471,plain,
% 3.04/3.20 (~(X!1 = n8)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[470, 437])).
% 3.04/3.20 tff(472,plain,
% 3.04/3.20 (sum(n4, n8) = n1),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(473,plain,
% 3.04/3.20 (sum(n5, n3) = n8),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(474,plain,
% 3.04/3.20 (sum(n10, n5) = n4),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(475,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n10, n5)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[105, 437])).
% 3.04/3.20 tff(476,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n4),
% 3.04/3.20 inference(transitivity,[status(thm)],[475, 474])).
% 3.04/3.20 tff(477,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n4)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[476])).
% 3.04/3.20 tff(478,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n3),
% 3.04/3.20 inference(transitivity,[status(thm)],[477, 16])).
% 3.04/3.20 tff(479,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n5, n3)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[437, 478])).
% 3.04/3.20 tff(480,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n8),
% 3.04/3.20 inference(transitivity,[status(thm)],[479, 473])).
% 3.04/3.20 tff(481,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n10, n6)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[105, 447])).
% 3.04/3.20 tff(482,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n5),
% 3.04/3.20 inference(transitivity,[status(thm)],[481, 104])).
% 3.04/3.20 tff(483,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n5)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[482])).
% 3.04/3.20 tff(484,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n4),
% 3.04/3.20 inference(transitivity,[status(thm)],[483, 53])).
% 3.04/3.20 tff(485,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n4, n8)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[484, 480])).
% 3.04/3.20 tff(486,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[485, 472])).
% 3.04/3.20 tff(487,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[43, 486])).
% 3.04/3.20 tff(488,plain,((~(X!1 = n10)) | (~(Y!0 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(489,plain,
% 3.04/3.20 (~(X!1 = n10)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[488, 437])).
% 3.04/3.20 tff(490,plain,
% 3.04/3.20 (sum(n0, n4) = n4),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(491,plain,
% 3.04/3.20 (sum(n6, n5) = n0),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(492,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n6, n5)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[229, 437])).
% 3.04/3.20 tff(493,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[492, 491])).
% 3.04/3.20 tff(494,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n0)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[493])).
% 3.04/3.20 tff(495,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n10),
% 3.04/3.20 inference(transitivity,[status(thm)],[494, 297])).
% 3.04/3.20 tff(496,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n5, n10)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[437, 495])).
% 3.04/3.20 tff(497,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n4),
% 3.04/3.20 inference(transitivity,[status(thm)],[496, 102])).
% 3.04/3.20 tff(498,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n6, n6)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[229, 447])).
% 3.04/3.20 tff(499,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[498, 270])).
% 3.04/3.20 tff(500,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n1)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[499])).
% 3.04/3.20 tff(501,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[500, 269])).
% 3.04/3.20 tff(502,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n0, n4)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[501, 497])).
% 3.04/3.20 tff(503,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4),
% 3.04/3.20 inference(transitivity,[status(thm)],[502, 490])).
% 3.04/3.20 tff(504,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[118, 503])).
% 3.04/3.20 tff(505,plain,((~(X!1 = n6)) | (~(Y!0 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(506,plain,
% 3.04/3.20 (~(X!1 = n6)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[505, 437])).
% 3.04/3.20 tff(507,plain,
% 3.04/3.20 (sum(n1, n5) = n6),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(508,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n7, n5)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[27, 437])).
% 3.04/3.20 tff(509,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[508, 19])).
% 3.04/3.20 tff(510,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n1)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[509])).
% 3.04/3.20 tff(511,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[510, 269])).
% 3.04/3.20 tff(512,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n5, n0)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[437, 511])).
% 3.04/3.20 tff(513,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n5),
% 3.04/3.20 inference(transitivity,[status(thm)],[512, 146])).
% 3.04/3.20 tff(514,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n7, n6)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[27, 447])).
% 3.04/3.20 tff(515,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n2),
% 3.04/3.20 inference(transitivity,[status(thm)],[514, 82])).
% 3.04/3.20 tff(516,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[515])).
% 3.04/3.20 tff(517,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[516, 81])).
% 3.04/3.20 tff(518,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n1, n5)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[517, 513])).
% 3.04/3.20 tff(519,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6),
% 3.04/3.20 inference(transitivity,[status(thm)],[518, 507])).
% 3.04/3.20 tff(520,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[72, 519])).
% 3.04/3.20 tff(521,plain,((~(X!1 = n7)) | (~(Y!0 = n5))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(522,plain,
% 3.04/3.20 (~(X!1 = n7)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[521, 437])).
% 3.04/3.20 tff(523,plain,
% 3.04/3.20 (sum(n4, n5) = n9),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(524,assumption,(X!1 = n4), introduced(assumption)).
% 3.04/3.20 tff(525,plain,
% 3.04/3.20 (sum(n10, n4) = n3),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(526,plain,
% 3.04/3.20 (sum(n4, n6) = n10),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(527,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n4, n6)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[524, 79])).
% 3.04/3.20 tff(528,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n10),
% 3.04/3.20 inference(transitivity,[status(thm)],[527, 526])).
% 3.04/3.20 tff(529,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n10)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[528])).
% 3.04/3.20 tff(530,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n9),
% 3.04/3.20 inference(transitivity,[status(thm)],[529, 290])).
% 3.04/3.20 tff(531,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n6, n9)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[79, 530])).
% 3.04/3.20 tff(532,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n4),
% 3.04/3.20 inference(transitivity,[status(thm)],[531, 228])).
% 3.04/3.20 tff(533,plain,
% 3.04/3.20 (sum(n4, n7) = n0),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(534,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n4, n7)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[524, 91])).
% 3.04/3.20 tff(535,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[534, 533])).
% 3.04/3.20 tff(536,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n0)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[535])).
% 3.04/3.20 tff(537,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n10),
% 3.04/3.20 inference(transitivity,[status(thm)],[536, 297])).
% 3.04/3.20 tff(538,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n10, n4)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[537, 532])).
% 3.04/3.20 tff(539,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3),
% 3.04/3.20 inference(transitivity,[status(thm)],[538, 525])).
% 3.04/3.20 tff(540,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[326, 539])).
% 3.04/3.20 tff(541,plain,((~(Y!0 = n6)) | (~(X!1 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(542,plain,
% 3.04/3.20 (~(Y!0 = n6)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[541, 524])).
% 3.04/3.20 tff(543,plain,
% 3.04/3.20 (sum(n0, n6) = n6),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(544,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n4, n7)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[524, 22])).
% 3.04/3.20 tff(545,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[544, 533])).
% 3.04/3.20 tff(546,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n0)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[545])).
% 3.04/3.20 tff(547,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n10),
% 3.04/3.20 inference(transitivity,[status(thm)],[546, 297])).
% 3.04/3.20 tff(548,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n7, n10)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[22, 547])).
% 3.04/3.20 tff(549,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n6),
% 3.04/3.20 inference(transitivity,[status(thm)],[548, 198])).
% 3.04/3.20 tff(550,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n4, n8)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[524, 36])).
% 3.04/3.20 tff(551,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[550, 472])).
% 3.04/3.20 tff(552,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n1)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[551])).
% 3.04/3.20 tff(553,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[552, 269])).
% 3.04/3.20 tff(554,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n0, n6)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[553, 549])).
% 3.04/3.20 tff(555,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6),
% 3.04/3.20 inference(transitivity,[status(thm)],[554, 543])).
% 3.04/3.20 tff(556,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[72, 555])).
% 3.04/3.20 tff(557,plain,((~(Y!0 = n7)) | (~(X!1 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(558,plain,
% 3.04/3.20 (~(Y!0 = n7)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[557, 524])).
% 3.04/3.20 tff(559,plain,
% 3.04/3.20 (sum(n1, n8) = n9),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(560,plain,
% 3.04/3.20 (sum(n8, n0) = n8),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(561,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n4, n8)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[524, 55])).
% 3.04/3.20 tff(562,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[561, 472])).
% 3.04/3.20 tff(563,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n1)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[562])).
% 3.04/3.20 tff(564,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n0),
% 3.04/3.20 inference(transitivity,[status(thm)],[563, 269])).
% 3.04/3.20 tff(565,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n8, n0)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[55, 564])).
% 3.04/3.20 tff(566,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n8),
% 3.04/3.20 inference(transitivity,[status(thm)],[565, 560])).
% 3.04/3.20 tff(567,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n4, n9)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[524, 65])).
% 3.04/3.20 tff(568,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n2),
% 3.04/3.20 inference(transitivity,[status(thm)],[567, 122])).
% 3.04/3.20 tff(569,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[568])).
% 3.04/3.20 tff(570,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[569, 81])).
% 3.04/3.20 tff(571,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n1, n8)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[570, 566])).
% 3.04/3.20 tff(572,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9),
% 3.04/3.20 inference(transitivity,[status(thm)],[571, 559])).
% 3.04/3.20 tff(573,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[98, 572])).
% 3.04/3.20 tff(574,plain,((~(Y!0 = n8)) | (~(X!1 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(575,plain,
% 3.04/3.20 (~(Y!0 = n8)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[574, 524])).
% 3.04/3.20 tff(576,plain,
% 3.04/3.20 (sum(n9, n1) = n10),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(577,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n4, n9)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[524, 165])).
% 3.04/3.20 tff(578,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n2),
% 3.04/3.20 inference(transitivity,[status(thm)],[577, 122])).
% 3.04/3.20 tff(579,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[578])).
% 3.04/3.20 tff(580,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[579, 81])).
% 3.04/3.20 tff(581,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n9, n1)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[165, 580])).
% 3.04/3.20 tff(582,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n10),
% 3.04/3.20 inference(transitivity,[status(thm)],[581, 576])).
% 3.04/3.20 tff(583,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n4, n10)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[524, 178])).
% 3.04/3.20 tff(584,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n3),
% 3.04/3.20 inference(transitivity,[status(thm)],[583, 47])).
% 3.04/3.20 tff(585,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = pred(n3)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[584])).
% 3.04/3.20 tff(586,plain,
% 3.04/3.20 (pred(sum(X!1, succ(Y!0))) = n2),
% 3.04/3.20 inference(transitivity,[status(thm)],[585, 25])).
% 3.04/3.20 tff(587,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n2, n10)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[586, 582])).
% 3.04/3.20 tff(588,plain,
% 3.04/3.20 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1),
% 3.04/3.20 inference(transitivity,[status(thm)],[587, 346])).
% 3.04/3.20 tff(589,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[43, 588])).
% 3.04/3.20 tff(590,plain,((~(Y!0 = n9)) | (~(X!1 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(591,plain,
% 3.04/3.20 (~(Y!0 = n9)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[590, 524])).
% 3.04/3.20 tff(592,plain,
% 3.04/3.20 (sum(n2, n5) = n7),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(593,plain,
% 3.04/3.20 (sum(n4, n2) = n6),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(594,plain,
% 3.04/3.20 (sum(X!1, Y!0) = sum(n4, n2)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[524, 287])).
% 3.04/3.20 tff(595,plain,
% 3.04/3.20 (sum(X!1, Y!0) = n6),
% 3.04/3.20 inference(transitivity,[status(thm)],[594, 593])).
% 3.04/3.20 tff(596,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = pred(n6)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[595])).
% 3.04/3.20 tff(597,plain,
% 3.04/3.20 (pred(sum(X!1, Y!0)) = n5),
% 3.04/3.20 inference(transitivity,[status(thm)],[596, 20])).
% 3.04/3.20 tff(598,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n2, n5)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[287, 597])).
% 3.04/3.20 tff(599,plain,
% 3.04/3.20 (sum(Y!0, pred(sum(X!1, Y!0))) = n7),
% 3.04/3.20 inference(transitivity,[status(thm)],[598, 592])).
% 3.04/3.20 tff(600,plain,
% 3.04/3.20 (sum(n4, n3) = n7),
% 3.04/3.20 inference(and_elim,[status(thm)],[13])).
% 3.04/3.20 tff(601,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = sum(n4, n3)),
% 3.04/3.20 inference(monotonicity,[status(thm)],[524, 300])).
% 3.04/3.20 tff(602,plain,
% 3.04/3.20 (sum(X!1, succ(Y!0)) = n7),
% 3.04/3.20 inference(transitivity,[status(thm)],[601, 600])).
% 3.04/3.21 tff(603,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n7)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[602])).
% 3.04/3.21 tff(604,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n6),
% 3.04/3.21 inference(transitivity,[status(thm)],[603, 134])).
% 3.04/3.21 tff(605,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n6, n7)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[604, 599])).
% 3.04/3.21 tff(606,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2),
% 3.04/3.21 inference(transitivity,[status(thm)],[605, 232])).
% 3.04/3.21 tff(607,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[185, 606])).
% 3.04/3.21 tff(608,plain,((~(Y!0 = n2)) | (~(X!1 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(609,plain,
% 3.04/3.21 (~(Y!0 = n2)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[608, 524])).
% 3.04/3.21 tff(610,plain,
% 3.04/3.21 (sum(n0, n3) = n3),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(611,assumption,(Y!0 = n0), introduced(assumption)).
% 3.04/3.21 tff(612,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n7, n0)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[27, 611])).
% 3.04/3.21 tff(613,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n7),
% 3.04/3.21 inference(transitivity,[status(thm)],[612, 366])).
% 3.04/3.21 tff(614,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n7)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[613])).
% 3.04/3.21 tff(615,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n6),
% 3.04/3.21 inference(transitivity,[status(thm)],[614, 134])).
% 3.04/3.21 tff(616,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n0, n6)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[611, 615])).
% 3.04/3.21 tff(617,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n6),
% 3.04/3.21 inference(transitivity,[status(thm)],[616, 543])).
% 3.04/3.21 tff(618,plain,
% 3.04/3.21 (succ(n0) = n1),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(619,plain,
% 3.04/3.21 (succ(Y!0) = succ(n0)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[611])).
% 3.04/3.21 tff(620,plain,
% 3.04/3.21 (succ(Y!0) = n1),
% 3.04/3.21 inference(transitivity,[status(thm)],[619, 618])).
% 3.04/3.21 tff(621,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n7, n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[27, 620])).
% 3.04/3.21 tff(622,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n8),
% 3.04/3.21 inference(transitivity,[status(thm)],[621, 231])).
% 3.04/3.21 tff(623,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n8)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[622])).
% 3.04/3.21 tff(624,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n7),
% 3.04/3.21 inference(transitivity,[status(thm)],[623, 166])).
% 3.04/3.21 tff(625,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n7, n6)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[624, 617])).
% 3.04/3.21 tff(626,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2),
% 3.04/3.21 inference(transitivity,[status(thm)],[625, 82])).
% 3.04/3.21 tff(627,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[185, 626])).
% 3.04/3.21 tff(628,plain,((~(X!1 = n7)) | (~(Y!0 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(629,plain,
% 3.04/3.21 (~(X!1 = n7)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[628, 611])).
% 3.04/3.21 tff(630,plain,
% 3.04/3.21 (sum(n0, n8) = n8),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(631,plain,
% 3.04/3.21 (sum(n9, n0) = n9),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(632,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n9, n0)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[125, 611])).
% 3.04/3.21 tff(633,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[632, 631])).
% 3.04/3.21 tff(634,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n9)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[633])).
% 3.04/3.21 tff(635,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n8),
% 3.04/3.21 inference(transitivity,[status(thm)],[634, 174])).
% 3.04/3.21 tff(636,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n0, n8)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[611, 635])).
% 3.04/3.21 tff(637,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n8),
% 3.04/3.21 inference(transitivity,[status(thm)],[636, 630])).
% 3.04/3.21 tff(638,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n9, n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[125, 620])).
% 3.04/3.21 tff(639,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n10),
% 3.04/3.21 inference(transitivity,[status(thm)],[638, 576])).
% 3.04/3.21 tff(640,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n10)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[639])).
% 3.04/3.21 tff(641,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[640, 290])).
% 3.04/3.21 tff(642,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n9, n8)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[641, 637])).
% 3.04/3.21 tff(643,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6),
% 3.04/3.21 inference(transitivity,[status(thm)],[642, 127])).
% 3.04/3.21 tff(644,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[72, 643])).
% 3.04/3.21 tff(645,plain,((~(X!1 = n9)) | (~(Y!0 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(646,plain,
% 3.04/3.21 (~(X!1 = n9)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[645, 611])).
% 3.04/3.21 tff(647,plain,
% 3.04/3.21 (sum(n0, n7) = n7),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(648,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n8, n0)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[50, 611])).
% 3.04/3.21 tff(649,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n8),
% 3.04/3.21 inference(transitivity,[status(thm)],[648, 560])).
% 3.04/3.21 tff(650,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n8)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[649])).
% 3.04/3.21 tff(651,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n7),
% 3.04/3.21 inference(transitivity,[status(thm)],[650, 166])).
% 3.04/3.21 tff(652,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n0, n7)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[611, 651])).
% 3.04/3.21 tff(653,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n7),
% 3.04/3.21 inference(transitivity,[status(thm)],[652, 647])).
% 3.04/3.21 tff(654,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n8, n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[50, 620])).
% 3.04/3.21 tff(655,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[654, 384])).
% 3.04/3.21 tff(656,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n9)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[655])).
% 3.04/3.21 tff(657,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n8),
% 3.04/3.21 inference(transitivity,[status(thm)],[656, 174])).
% 3.04/3.21 tff(658,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n8, n7)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[657, 653])).
% 3.04/3.21 tff(659,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4),
% 3.04/3.21 inference(transitivity,[status(thm)],[658, 49])).
% 3.04/3.21 tff(660,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[118, 659])).
% 3.04/3.21 tff(661,plain,((~(X!1 = n8)) | (~(Y!0 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(662,plain,
% 3.04/3.21 (~(X!1 = n8)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[661, 611])).
% 3.04/3.21 tff(663,plain,
% 3.04/3.21 (sum(n0, n9) = n9),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(664,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n10, n0)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[105, 611])).
% 3.04/3.21 tff(665,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n10),
% 3.04/3.21 inference(transitivity,[status(thm)],[664, 288])).
% 3.04/3.21 tff(666,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n10)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[665])).
% 3.04/3.21 tff(667,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[666, 290])).
% 3.04/3.21 tff(668,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n0, n9)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[611, 667])).
% 3.04/3.21 tff(669,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[668, 663])).
% 3.04/3.21 tff(670,plain,
% 3.04/3.21 (sum(n10, n1) = n0),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(671,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n10, n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[105, 620])).
% 3.04/3.21 tff(672,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n0),
% 3.04/3.21 inference(transitivity,[status(thm)],[671, 670])).
% 3.04/3.21 tff(673,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n0)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[672])).
% 3.04/3.21 tff(674,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n10),
% 3.04/3.21 inference(transitivity,[status(thm)],[673, 297])).
% 3.04/3.21 tff(675,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n10, n9)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[674, 669])).
% 3.04/3.21 tff(676,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8),
% 3.04/3.21 inference(transitivity,[status(thm)],[675, 167])).
% 3.04/3.21 tff(677,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[142, 676])).
% 3.04/3.21 tff(678,plain,((~(X!1 = n10)) | (~(Y!0 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(679,plain,
% 3.04/3.21 (~(X!1 = n10)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[678, 611])).
% 3.04/3.21 tff(680,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n6, n0)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[229, 611])).
% 3.04/3.21 tff(681,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n6),
% 3.04/3.21 inference(transitivity,[status(thm)],[680, 268])).
% 3.04/3.21 tff(682,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n6)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[681])).
% 3.04/3.21 tff(683,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n5),
% 3.04/3.21 inference(transitivity,[status(thm)],[682, 20])).
% 3.04/3.21 tff(684,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n0, n5)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[611, 683])).
% 3.04/3.21 tff(685,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n5),
% 3.04/3.21 inference(transitivity,[status(thm)],[684, 418])).
% 3.04/3.21 tff(686,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n6, n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[229, 620])).
% 3.04/3.21 tff(687,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n7),
% 3.04/3.21 inference(transitivity,[status(thm)],[686, 18])).
% 3.04/3.21 tff(688,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n7)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[687])).
% 3.04/3.21 tff(689,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n6),
% 3.04/3.21 inference(transitivity,[status(thm)],[688, 134])).
% 3.04/3.21 tff(690,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n6, n5)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[689, 685])).
% 3.04/3.21 tff(691,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0),
% 3.04/3.21 inference(transitivity,[status(thm)],[690, 491])).
% 3.04/3.21 tff(692,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[398, 691])).
% 3.04/3.21 tff(693,plain,((~(X!1 = n6)) | (~(Y!0 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(694,plain,
% 3.04/3.21 (~(X!1 = n6)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[693, 611])).
% 3.04/3.21 tff(695,plain,
% 3.04/3.21 (sum(n5, n4) = n9),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(696,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n5, n0)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[364, 611])).
% 3.04/3.21 tff(697,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n5),
% 3.04/3.21 inference(transitivity,[status(thm)],[696, 146])).
% 3.04/3.21 tff(698,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n5)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[697])).
% 3.04/3.21 tff(699,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n4),
% 3.04/3.21 inference(transitivity,[status(thm)],[698, 53])).
% 3.04/3.21 tff(700,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n0, n4)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[611, 699])).
% 3.04/3.21 tff(701,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n4),
% 3.04/3.21 inference(transitivity,[status(thm)],[700, 490])).
% 3.04/3.21 tff(702,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n5, n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[364, 620])).
% 3.04/3.21 tff(703,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n6),
% 3.04/3.21 inference(transitivity,[status(thm)],[702, 51])).
% 3.04/3.21 tff(704,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n6)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[703])).
% 3.04/3.21 tff(705,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n5),
% 3.04/3.21 inference(transitivity,[status(thm)],[704, 20])).
% 3.04/3.21 tff(706,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n5, n4)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[705, 701])).
% 3.04/3.21 tff(707,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[706, 695])).
% 3.04/3.21 tff(708,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[98, 707])).
% 3.04/3.21 tff(709,plain,((~(X!1 = n5)) | (~(Y!0 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(710,plain,
% 3.04/3.21 (~(X!1 = n5)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[709, 611])).
% 3.04/3.21 tff(711,plain,
% 3.04/3.21 (sum(n3, n2) = n5),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(712,plain,
% 3.04/3.21 (sum(n0, n2) = n2),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(713,assumption,(X!1 = n3), introduced(assumption)).
% 3.04/3.21 tff(714,plain,
% 3.04/3.21 (sum(n2, n4) = n6),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(715,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n3, n2)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[713, 287])).
% 3.04/3.21 tff(716,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n5),
% 3.04/3.21 inference(transitivity,[status(thm)],[715, 711])).
% 3.04/3.21 tff(717,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n5)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[716])).
% 3.04/3.21 tff(718,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n4),
% 3.04/3.21 inference(transitivity,[status(thm)],[717, 53])).
% 3.04/3.21 tff(719,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n2, n4)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[287, 718])).
% 3.04/3.21 tff(720,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n6),
% 3.04/3.21 inference(transitivity,[status(thm)],[719, 714])).
% 3.04/3.21 tff(721,plain,
% 3.04/3.21 (sum(n3, n3) = n6),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(722,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n3, n3)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[713, 300])).
% 3.04/3.21 tff(723,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n6),
% 3.04/3.21 inference(transitivity,[status(thm)],[722, 721])).
% 3.04/3.21 tff(724,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n6)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[723])).
% 3.04/3.21 tff(725,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n5),
% 3.04/3.21 inference(transitivity,[status(thm)],[724, 20])).
% 3.04/3.21 tff(726,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n5, n6)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[725, 720])).
% 3.04/3.21 tff(727,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0),
% 3.04/3.21 inference(transitivity,[status(thm)],[726, 420])).
% 3.04/3.21 tff(728,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[398, 727])).
% 3.04/3.21 tff(729,plain,((~(Y!0 = n2)) | (~(X!1 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(730,plain,
% 3.04/3.21 (~(Y!0 = n2)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[729, 713])).
% 3.04/3.21 tff(731,plain,
% 3.04/3.21 (sum(n3, n6) = n9),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(732,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n3, n6)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[713, 79])).
% 3.04/3.21 tff(733,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[732, 731])).
% 3.04/3.21 tff(734,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n9)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[733])).
% 3.04/3.21 tff(735,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n8),
% 3.04/3.21 inference(transitivity,[status(thm)],[734, 174])).
% 3.04/3.21 tff(736,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n6, n8)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[79, 735])).
% 3.04/3.21 tff(737,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n3),
% 3.04/3.21 inference(transitivity,[status(thm)],[736, 239])).
% 3.04/3.21 tff(738,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n3, n7)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[713, 91])).
% 3.04/3.21 tff(739,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n10),
% 3.04/3.21 inference(transitivity,[status(thm)],[738, 438])).
% 3.04/3.21 tff(740,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n10)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[739])).
% 3.04/3.21 tff(741,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[740, 290])).
% 3.04/3.21 tff(742,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n9, n3)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[741, 737])).
% 3.04/3.21 tff(743,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1),
% 3.04/3.21 inference(transitivity,[status(thm)],[742, 227])).
% 3.04/3.21 tff(744,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[43, 743])).
% 3.04/3.21 tff(745,plain,((~(Y!0 = n6)) | (~(X!1 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(746,plain,
% 3.04/3.21 (~(Y!0 = n6)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[745, 713])).
% 3.04/3.21 tff(747,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n3, n7)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[713, 22])).
% 3.04/3.21 tff(748,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n10),
% 3.04/3.21 inference(transitivity,[status(thm)],[747, 438])).
% 3.04/3.21 tff(749,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n10)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[748])).
% 3.04/3.21 tff(750,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[749, 290])).
% 3.04/3.21 tff(751,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n7, n9)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[22, 750])).
% 3.04/3.21 tff(752,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n5),
% 3.04/3.21 inference(transitivity,[status(thm)],[751, 191])).
% 3.04/3.21 tff(753,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n3, n8)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[713, 36])).
% 3.04/3.21 tff(754,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n0),
% 3.04/3.21 inference(transitivity,[status(thm)],[753, 76])).
% 3.04/3.21 tff(755,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n0)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[754])).
% 3.04/3.21 tff(756,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n10),
% 3.04/3.21 inference(transitivity,[status(thm)],[755, 297])).
% 3.04/3.21 tff(757,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n10, n5)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[756, 752])).
% 3.04/3.21 tff(758,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4),
% 3.04/3.21 inference(transitivity,[status(thm)],[757, 474])).
% 3.04/3.21 tff(759,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[118, 758])).
% 3.04/3.21 tff(760,plain,((~(Y!0 = n7)) | (~(X!1 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(761,plain,
% 3.04/3.21 (~(Y!0 = n7)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[760, 713])).
% 3.04/3.21 tff(762,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n3, n8)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[713, 55])).
% 3.04/3.21 tff(763,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n0),
% 3.04/3.21 inference(transitivity,[status(thm)],[762, 76])).
% 3.04/3.21 tff(764,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n0)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[763])).
% 3.04/3.21 tff(765,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n10),
% 3.04/3.21 inference(transitivity,[status(thm)],[764, 297])).
% 3.04/3.21 tff(766,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n8, n10)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[55, 765])).
% 3.04/3.21 tff(767,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n7),
% 3.04/3.21 inference(transitivity,[status(thm)],[766, 216])).
% 3.04/3.21 tff(768,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n3, n9)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[713, 65])).
% 3.04/3.21 tff(769,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n1),
% 3.04/3.21 inference(transitivity,[status(thm)],[768, 23])).
% 3.04/3.21 tff(770,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[769])).
% 3.04/3.21 tff(771,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n0),
% 3.04/3.21 inference(transitivity,[status(thm)],[770, 269])).
% 3.04/3.21 tff(772,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n0, n7)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[771, 767])).
% 3.04/3.21 tff(773,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7),
% 3.04/3.21 inference(transitivity,[status(thm)],[772, 647])).
% 3.04/3.21 tff(774,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[205, 773])).
% 3.04/3.21 tff(775,plain,((~(Y!0 = n8)) | (~(X!1 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(776,plain,
% 3.04/3.21 (~(Y!0 = n8)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[775, 713])).
% 3.04/3.21 tff(777,plain,
% 3.04/3.21 (sum(n1, n9) = n10),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(778,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n3, n9)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[713, 165])).
% 3.04/3.21 tff(779,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n1),
% 3.04/3.21 inference(transitivity,[status(thm)],[778, 23])).
% 3.04/3.21 tff(780,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[779])).
% 3.04/3.21 tff(781,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n0),
% 3.04/3.21 inference(transitivity,[status(thm)],[780, 269])).
% 3.04/3.21 tff(782,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n9, n0)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[165, 781])).
% 3.04/3.21 tff(783,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[782, 631])).
% 3.04/3.21 tff(784,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n3, n10)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[713, 178])).
% 3.04/3.21 tff(785,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n2),
% 3.04/3.21 inference(transitivity,[status(thm)],[784, 250])).
% 3.04/3.21 tff(786,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n2)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[785])).
% 3.04/3.21 tff(787,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n1),
% 3.04/3.21 inference(transitivity,[status(thm)],[786, 81])).
% 3.04/3.21 tff(788,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n1, n9)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[787, 783])).
% 3.04/3.21 tff(789,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n10),
% 3.04/3.21 inference(transitivity,[status(thm)],[788, 777])).
% 3.04/3.21 tff(790,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[246, 789])).
% 3.04/3.21 tff(791,plain,((~(Y!0 = n9)) | (~(X!1 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(792,plain,
% 3.04/3.21 (~(Y!0 = n9)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[791, 713])).
% 3.04/3.21 tff(793,plain,
% 3.04/3.21 (sum(n3, n5) = n8),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(794,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n3, n5)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[713, 437])).
% 3.04/3.21 tff(795,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n8),
% 3.04/3.21 inference(transitivity,[status(thm)],[794, 793])).
% 3.04/3.21 tff(796,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n8)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[795])).
% 3.04/3.21 tff(797,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n7),
% 3.04/3.21 inference(transitivity,[status(thm)],[796, 166])).
% 3.04/3.21 tff(798,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n5, n7)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[437, 797])).
% 3.04/3.21 tff(799,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n1),
% 3.04/3.21 inference(transitivity,[status(thm)],[798, 367])).
% 3.04/3.21 tff(800,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n3, n6)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[713, 447])).
% 3.04/3.21 tff(801,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[800, 731])).
% 3.04/3.21 tff(802,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n9)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[801])).
% 3.04/3.21 tff(803,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n8),
% 3.04/3.21 inference(transitivity,[status(thm)],[802, 174])).
% 3.04/3.21 tff(804,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n8, n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[803, 799])).
% 3.04/3.21 tff(805,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[804, 384])).
% 3.04/3.21 tff(806,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[98, 805])).
% 3.04/3.21 tff(807,plain,((~(Y!0 = n5)) | (~(X!1 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(808,plain,
% 3.04/3.21 (~(Y!0 = n5)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[807, 713])).
% 3.04/3.21 tff(809,plain,
% 3.04/3.21 (sum(n4, n4) = n8),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(810,plain,
% 3.04/3.21 (sum(n1, n3) = n4),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(811,plain,
% 3.04/3.21 (sum(n3, n1) = n4),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(812,assumption,(Y!0 = n1), introduced(assumption)).
% 3.04/3.21 tff(813,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n5, n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[364, 812])).
% 3.04/3.21 tff(814,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n6),
% 3.04/3.21 inference(transitivity,[status(thm)],[813, 51])).
% 3.04/3.21 tff(815,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n6)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[814])).
% 3.04/3.21 tff(816,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n5),
% 3.04/3.21 inference(transitivity,[status(thm)],[815, 20])).
% 3.04/3.21 tff(817,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n1, n5)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[812, 816])).
% 3.04/3.21 tff(818,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n6),
% 3.04/3.21 inference(transitivity,[status(thm)],[817, 507])).
% 3.04/3.21 tff(819,plain,
% 3.04/3.21 (succ(n1) = n2),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(820,plain,
% 3.04/3.21 (succ(Y!0) = succ(n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[812])).
% 3.04/3.21 tff(821,plain,
% 3.04/3.21 (succ(Y!0) = n2),
% 3.04/3.21 inference(transitivity,[status(thm)],[820, 819])).
% 3.04/3.21 tff(822,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n5, n2)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[364, 821])).
% 3.04/3.21 tff(823,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n7),
% 3.04/3.21 inference(transitivity,[status(thm)],[822, 189])).
% 3.04/3.21 tff(824,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n7)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[823])).
% 3.04/3.21 tff(825,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n6),
% 3.04/3.21 inference(transitivity,[status(thm)],[824, 134])).
% 3.04/3.21 tff(826,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n6, n6)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[825, 818])).
% 3.04/3.21 tff(827,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1),
% 3.04/3.21 inference(transitivity,[status(thm)],[826, 270])).
% 3.04/3.21 tff(828,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[43, 827])).
% 3.04/3.21 tff(829,plain,((~(X!1 = n5)) | (~(Y!0 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(830,plain,
% 3.04/3.21 (~(X!1 = n5)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[829, 812])).
% 3.04/3.21 tff(831,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n7, n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[27, 812])).
% 3.04/3.21 tff(832,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n8),
% 3.04/3.21 inference(transitivity,[status(thm)],[831, 231])).
% 3.04/3.21 tff(833,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n8)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[832])).
% 3.04/3.21 tff(834,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n7),
% 3.04/3.21 inference(transitivity,[status(thm)],[833, 166])).
% 3.04/3.21 tff(835,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n1, n7)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[812, 834])).
% 3.04/3.21 tff(836,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n8),
% 3.04/3.21 inference(transitivity,[status(thm)],[835, 365])).
% 3.04/3.21 tff(837,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n7, n2)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[27, 821])).
% 3.04/3.21 tff(838,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[837, 24])).
% 3.04/3.21 tff(839,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n9)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[838])).
% 3.04/3.21 tff(840,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n8),
% 3.04/3.21 inference(transitivity,[status(thm)],[839, 174])).
% 3.04/3.21 tff(841,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n8, n8)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[840, 836])).
% 3.04/3.21 tff(842,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5),
% 3.04/3.21 inference(transitivity,[status(thm)],[841, 54])).
% 3.04/3.21 tff(843,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[161, 842])).
% 3.04/3.21 tff(844,plain,((~(X!1 = n7)) | (~(Y!0 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(845,plain,
% 3.04/3.21 (~(X!1 = n7)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[844, 812])).
% 3.04/3.21 tff(846,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n9, n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[125, 812])).
% 3.04/3.21 tff(847,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n10),
% 3.04/3.21 inference(transitivity,[status(thm)],[846, 576])).
% 3.04/3.21 tff(848,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n10)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[847])).
% 3.04/3.21 tff(849,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[848, 290])).
% 3.04/3.21 tff(850,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n1, n9)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[812, 849])).
% 3.04/3.21 tff(851,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n10),
% 3.04/3.21 inference(transitivity,[status(thm)],[850, 777])).
% 3.04/3.21 tff(852,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n9, n2)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[125, 821])).
% 3.04/3.21 tff(853,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n0),
% 3.04/3.21 inference(transitivity,[status(thm)],[852, 347])).
% 3.04/3.21 tff(854,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n0)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[853])).
% 3.04/3.21 tff(855,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n10),
% 3.04/3.21 inference(transitivity,[status(thm)],[854, 297])).
% 3.04/3.21 tff(856,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n10, n10)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[855, 851])).
% 3.04/3.21 tff(857,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[856, 175])).
% 3.04/3.21 tff(858,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[98, 857])).
% 3.04/3.21 tff(859,plain,((~(X!1 = n9)) | (~(Y!0 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(860,plain,
% 3.04/3.21 (~(X!1 = n9)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[859, 812])).
% 3.04/3.21 tff(861,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n8, n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[50, 812])).
% 3.04/3.21 tff(862,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[861, 384])).
% 3.04/3.21 tff(863,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n9)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[862])).
% 3.04/3.21 tff(864,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n8),
% 3.04/3.21 inference(transitivity,[status(thm)],[863, 174])).
% 3.04/3.21 tff(865,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n1, n8)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[812, 864])).
% 3.04/3.21 tff(866,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[865, 559])).
% 3.04/3.21 tff(867,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n8, n2)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[50, 821])).
% 3.04/3.21 tff(868,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n10),
% 3.04/3.21 inference(transitivity,[status(thm)],[867, 251])).
% 3.04/3.21 tff(869,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n10)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[868])).
% 3.04/3.21 tff(870,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n9),
% 3.04/3.21 inference(transitivity,[status(thm)],[869, 290])).
% 3.04/3.21 tff(871,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n9, n9)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[870, 866])).
% 3.04/3.21 tff(872,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7),
% 3.04/3.21 inference(transitivity,[status(thm)],[871, 135])).
% 3.04/3.21 tff(873,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[205, 872])).
% 3.04/3.21 tff(874,plain,((~(X!1 = n8)) | (~(Y!0 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(875,plain,
% 3.04/3.21 (~(X!1 = n8)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[874, 812])).
% 3.04/3.21 tff(876,plain,
% 3.04/3.21 (sum(n0, n0) = n0),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(877,plain,
% 3.04/3.21 (sum(n1, n10) = n0),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(878,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n10, n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[105, 812])).
% 3.04/3.21 tff(879,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n0),
% 3.04/3.21 inference(transitivity,[status(thm)],[878, 670])).
% 3.04/3.21 tff(880,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n0)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[879])).
% 3.04/3.21 tff(881,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n10),
% 3.04/3.21 inference(transitivity,[status(thm)],[880, 297])).
% 3.04/3.21 tff(882,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n1, n10)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[812, 881])).
% 3.04/3.21 tff(883,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n0),
% 3.04/3.21 inference(transitivity,[status(thm)],[882, 877])).
% 3.04/3.21 tff(884,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n10, n2)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[105, 821])).
% 3.04/3.21 tff(885,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n1),
% 3.04/3.21 inference(transitivity,[status(thm)],[884, 312])).
% 3.04/3.21 tff(886,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[885])).
% 3.04/3.21 tff(887,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n0),
% 3.04/3.21 inference(transitivity,[status(thm)],[886, 269])).
% 3.04/3.21 tff(888,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n0, n0)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[887, 883])).
% 3.04/3.21 tff(889,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0),
% 3.04/3.21 inference(transitivity,[status(thm)],[888, 876])).
% 3.04/3.21 tff(890,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[398, 889])).
% 3.04/3.21 tff(891,plain,((~(X!1 = n10)) | (~(Y!0 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(892,plain,
% 3.04/3.21 (~(X!1 = n10)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[891, 812])).
% 3.04/3.21 tff(893,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n6, n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[229, 812])).
% 3.04/3.21 tff(894,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n7),
% 3.04/3.21 inference(transitivity,[status(thm)],[893, 18])).
% 3.04/3.21 tff(895,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n7)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[894])).
% 3.04/3.21 tff(896,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n6),
% 3.04/3.21 inference(transitivity,[status(thm)],[895, 134])).
% 3.04/3.21 tff(897,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n1, n6)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[812, 896])).
% 3.04/3.21 tff(898,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n7),
% 3.04/3.21 inference(transitivity,[status(thm)],[897, 267])).
% 3.04/3.21 tff(899,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n6, n2)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[229, 821])).
% 3.04/3.21 tff(900,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n8),
% 3.04/3.21 inference(transitivity,[status(thm)],[899, 77])).
% 3.04/3.21 tff(901,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n8)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[900])).
% 3.04/3.21 tff(902,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n7),
% 3.04/3.21 inference(transitivity,[status(thm)],[901, 166])).
% 3.04/3.21 tff(903,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n7, n7)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[902, 898])).
% 3.04/3.21 tff(904,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3),
% 3.04/3.21 inference(transitivity,[status(thm)],[903, 26])).
% 3.04/3.21 tff(905,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[326, 904])).
% 3.04/3.21 tff(906,plain,((~(X!1 = n6)) | (~(Y!0 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(907,plain,
% 3.04/3.21 (~(X!1 = n6)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[906, 812])).
% 3.04/3.21 tff(908,plain,
% 3.04/3.21 (sum(n1, n4) = n5),
% 3.04/3.21 inference(and_elim,[status(thm)],[13])).
% 3.04/3.21 tff(909,plain,
% 3.04/3.21 (sum(X!1, Y!0) = sum(n4, n1)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[524, 812])).
% 3.04/3.21 tff(910,plain,
% 3.04/3.21 (sum(X!1, Y!0) = n5),
% 3.04/3.21 inference(transitivity,[status(thm)],[909, 226])).
% 3.04/3.21 tff(911,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = pred(n5)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[910])).
% 3.04/3.21 tff(912,plain,
% 3.04/3.21 (pred(sum(X!1, Y!0)) = n4),
% 3.04/3.21 inference(transitivity,[status(thm)],[911, 53])).
% 3.04/3.21 tff(913,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n1, n4)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[812, 912])).
% 3.04/3.21 tff(914,plain,
% 3.04/3.21 (sum(Y!0, pred(sum(X!1, Y!0))) = n5),
% 3.04/3.21 inference(transitivity,[status(thm)],[913, 908])).
% 3.04/3.21 tff(915,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = sum(n4, n2)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[524, 821])).
% 3.04/3.21 tff(916,plain,
% 3.04/3.21 (sum(X!1, succ(Y!0)) = n6),
% 3.04/3.21 inference(transitivity,[status(thm)],[915, 593])).
% 3.04/3.21 tff(917,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = pred(n6)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[916])).
% 3.04/3.21 tff(918,plain,
% 3.04/3.21 (pred(sum(X!1, succ(Y!0))) = n5),
% 3.04/3.21 inference(transitivity,[status(thm)],[917, 20])).
% 3.04/3.21 tff(919,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n5, n5)),
% 3.04/3.21 inference(monotonicity,[status(thm)],[918, 914])).
% 3.04/3.21 tff(920,plain,
% 3.04/3.21 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n10),
% 3.04/3.22 inference(transitivity,[status(thm)],[919, 436])).
% 3.04/3.22 tff(921,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[246, 920])).
% 3.04/3.22 tff(922,plain,((~(X!1 = n4)) | (~(Y!0 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(923,plain,
% 3.04/3.22 (~(X!1 = n4)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[922, 812])).
% 3.04/3.22 tff(924,plain,
% 3.04/3.22 (sum(n2, n1) = n3),
% 3.04/3.22 inference(and_elim,[status(thm)],[13])).
% 3.04/3.22 tff(925,assumption,(X!1 = n2), introduced(assumption)).
% 3.04/3.22 tff(926,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n2, n5)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[925, 437])).
% 3.04/3.22 tff(927,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n7),
% 3.04/3.22 inference(transitivity,[status(thm)],[926, 592])).
% 3.04/3.22 tff(928,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n7)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[927])).
% 3.04/3.22 tff(929,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n6),
% 3.04/3.22 inference(transitivity,[status(thm)],[928, 134])).
% 3.04/3.22 tff(930,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n5, n6)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[437, 929])).
% 3.04/3.22 tff(931,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n0),
% 3.04/3.22 inference(transitivity,[status(thm)],[930, 420])).
% 3.04/3.22 tff(932,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n2, n6)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[925, 447])).
% 3.04/3.22 tff(933,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n8),
% 3.04/3.22 inference(transitivity,[status(thm)],[932, 363])).
% 3.04/3.22 tff(934,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n8)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[933])).
% 3.04/3.22 tff(935,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n7),
% 3.04/3.22 inference(transitivity,[status(thm)],[934, 166])).
% 3.04/3.22 tff(936,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n7, n0)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[935, 931])).
% 3.04/3.22 tff(937,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7),
% 3.04/3.22 inference(transitivity,[status(thm)],[936, 366])).
% 3.04/3.22 tff(938,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[205, 937])).
% 3.04/3.22 tff(939,plain,((~(Y!0 = n5)) | (~(X!1 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(940,plain,
% 3.04/3.22 (~(Y!0 = n5)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[939, 925])).
% 3.04/3.22 tff(941,plain,
% 3.04/3.22 (sum(n2, n3) = n5),
% 3.04/3.22 inference(and_elim,[status(thm)],[13])).
% 3.04/3.22 tff(942,plain,
% 3.04/3.22 (sum(n2, n2) = n4),
% 3.04/3.22 inference(and_elim,[status(thm)],[13])).
% 3.04/3.22 tff(943,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n2, n2)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[925, 287])).
% 3.04/3.22 tff(944,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n4),
% 3.04/3.22 inference(transitivity,[status(thm)],[943, 942])).
% 3.04/3.22 tff(945,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n4)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[944])).
% 3.04/3.22 tff(946,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n3),
% 3.04/3.22 inference(transitivity,[status(thm)],[945, 16])).
% 3.04/3.22 tff(947,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n2, n3)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[287, 946])).
% 3.04/3.22 tff(948,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n5),
% 3.04/3.22 inference(transitivity,[status(thm)],[947, 941])).
% 3.04/3.22 tff(949,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n2, n3)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[925, 300])).
% 3.04/3.22 tff(950,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n5),
% 3.04/3.22 inference(transitivity,[status(thm)],[949, 941])).
% 3.04/3.22 tff(951,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n5)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[950])).
% 3.04/3.22 tff(952,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n4),
% 3.04/3.22 inference(transitivity,[status(thm)],[951, 53])).
% 3.04/3.22 tff(953,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n4, n5)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[952, 948])).
% 3.04/3.22 tff(954,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9),
% 3.04/3.22 inference(transitivity,[status(thm)],[953, 523])).
% 3.04/3.22 tff(955,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[98, 954])).
% 3.04/3.22 tff(956,plain,((~(Y!0 = n2)) | (~(X!1 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(957,plain,
% 3.04/3.22 (~(Y!0 = n2)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[956, 925])).
% 3.04/3.22 tff(958,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n2, n6)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[925, 79])).
% 3.04/3.22 tff(959,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n8),
% 3.04/3.22 inference(transitivity,[status(thm)],[958, 363])).
% 3.04/3.22 tff(960,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n8)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[959])).
% 3.04/3.22 tff(961,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n7),
% 3.04/3.22 inference(transitivity,[status(thm)],[960, 166])).
% 3.04/3.22 tff(962,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n6, n7)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[79, 961])).
% 3.04/3.22 tff(963,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n2),
% 3.04/3.22 inference(transitivity,[status(thm)],[962, 232])).
% 3.04/3.22 tff(964,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n2, n7)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[925, 91])).
% 3.04/3.22 tff(965,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n9),
% 3.04/3.22 inference(transitivity,[status(thm)],[964, 80])).
% 3.04/3.22 tff(966,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n9)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[965])).
% 3.04/3.22 tff(967,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n8),
% 3.04/3.22 inference(transitivity,[status(thm)],[966, 174])).
% 3.04/3.22 tff(968,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n8, n2)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[967, 963])).
% 3.04/3.22 tff(969,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n10),
% 3.04/3.22 inference(transitivity,[status(thm)],[968, 251])).
% 3.04/3.22 tff(970,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[246, 969])).
% 3.04/3.22 tff(971,plain,((~(Y!0 = n6)) | (~(X!1 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(972,plain,
% 3.04/3.22 (~(Y!0 = n6)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[971, 925])).
% 3.04/3.22 tff(973,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n2, n7)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[925, 22])).
% 3.04/3.22 tff(974,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n9),
% 3.04/3.22 inference(transitivity,[status(thm)],[973, 80])).
% 3.04/3.22 tff(975,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n9)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[974])).
% 3.04/3.22 tff(976,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n8),
% 3.04/3.22 inference(transitivity,[status(thm)],[975, 174])).
% 3.04/3.22 tff(977,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n7, n8)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[22, 976])).
% 3.04/3.22 tff(978,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n4),
% 3.04/3.22 inference(transitivity,[status(thm)],[977, 17])).
% 3.04/3.22 tff(979,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n2, n8)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[925, 36])).
% 3.04/3.22 tff(980,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n10),
% 3.04/3.22 inference(transitivity,[status(thm)],[979, 230])).
% 3.04/3.22 tff(981,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n10)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[980])).
% 3.04/3.22 tff(982,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n9),
% 3.04/3.22 inference(transitivity,[status(thm)],[981, 290])).
% 3.04/3.22 tff(983,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n9, n4)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[982, 978])).
% 3.04/3.22 tff(984,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2),
% 3.04/3.22 inference(transitivity,[status(thm)],[983, 190])).
% 3.04/3.22 tff(985,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[185, 984])).
% 3.04/3.22 tff(986,plain,((~(Y!0 = n7)) | (~(X!1 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(987,plain,
% 3.04/3.22 (~(Y!0 = n7)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[986, 925])).
% 3.04/3.22 tff(988,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n2, n8)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[925, 55])).
% 3.04/3.22 tff(989,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n10),
% 3.04/3.22 inference(transitivity,[status(thm)],[988, 230])).
% 3.04/3.22 tff(990,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n10)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[989])).
% 3.04/3.22 tff(991,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n9),
% 3.04/3.22 inference(transitivity,[status(thm)],[990, 290])).
% 3.04/3.22 tff(992,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n8, n9)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[55, 991])).
% 3.04/3.22 tff(993,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n6),
% 3.04/3.22 inference(transitivity,[status(thm)],[992, 62])).
% 3.04/3.22 tff(994,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n2, n9)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[925, 65])).
% 3.04/3.22 tff(995,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n0),
% 3.04/3.22 inference(transitivity,[status(thm)],[994, 289])).
% 3.04/3.22 tff(996,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n0)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[995])).
% 3.04/3.22 tff(997,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n10),
% 3.04/3.22 inference(transitivity,[status(thm)],[996, 297])).
% 3.04/3.22 tff(998,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n10, n6)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[997, 993])).
% 3.04/3.22 tff(999,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5),
% 3.04/3.22 inference(transitivity,[status(thm)],[998, 104])).
% 3.04/3.22 tff(1000,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[161, 999])).
% 3.04/3.22 tff(1001,plain,((~(Y!0 = n8)) | (~(X!1 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(1002,plain,
% 3.04/3.22 (~(Y!0 = n8)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1001, 925])).
% 3.04/3.22 tff(1003,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n2, n9)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[925, 165])).
% 3.04/3.22 tff(1004,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n0),
% 3.04/3.22 inference(transitivity,[status(thm)],[1003, 289])).
% 3.04/3.22 tff(1005,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n0)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1004])).
% 3.04/3.22 tff(1006,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n10),
% 3.04/3.22 inference(transitivity,[status(thm)],[1005, 297])).
% 3.04/3.22 tff(1007,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n9, n10)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[165, 1006])).
% 3.04/3.22 tff(1008,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n8),
% 3.04/3.22 inference(transitivity,[status(thm)],[1007, 286])).
% 3.04/3.22 tff(1009,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n2, n10)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[925, 178])).
% 3.04/3.22 tff(1010,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n1),
% 3.04/3.22 inference(transitivity,[status(thm)],[1009, 346])).
% 3.04/3.22 tff(1011,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n1)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1010])).
% 3.04/3.22 tff(1012,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n0),
% 3.04/3.22 inference(transitivity,[status(thm)],[1011, 269])).
% 3.04/3.22 tff(1013,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n0, n8)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1012, 1008])).
% 3.04/3.22 tff(1014,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8),
% 3.04/3.22 inference(transitivity,[status(thm)],[1013, 630])).
% 3.04/3.22 tff(1015,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[142, 1014])).
% 3.04/3.22 tff(1016,plain,((~(Y!0 = n9)) | (~(X!1 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(1017,plain,
% 3.04/3.22 (~(Y!0 = n9)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1016, 925])).
% 3.04/3.22 tff(1018,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n2, n0)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[925, 611])).
% 3.04/3.22 tff(1019,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n2),
% 3.04/3.22 inference(transitivity,[status(thm)],[1018, 311])).
% 3.04/3.22 tff(1020,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n2)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1019])).
% 3.04/3.22 tff(1021,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n1),
% 3.04/3.22 inference(transitivity,[status(thm)],[1020, 81])).
% 3.04/3.22 tff(1022,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n0, n1)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[611, 1021])).
% 3.04/3.22 tff(1023,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n1),
% 3.04/3.22 inference(transitivity,[status(thm)],[1022, 345])).
% 3.04/3.22 tff(1024,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n2, n1)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[925, 620])).
% 3.04/3.22 tff(1025,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n3),
% 3.04/3.22 inference(transitivity,[status(thm)],[1024, 924])).
% 3.04/3.22 tff(1026,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n3)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1025])).
% 3.04/3.22 tff(1027,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n2),
% 3.04/3.22 inference(transitivity,[status(thm)],[1026, 25])).
% 3.04/3.22 tff(1028,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n2, n1)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1027, 1023])).
% 3.04/3.22 tff(1029,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3),
% 3.04/3.22 inference(transitivity,[status(thm)],[1028, 924])).
% 3.04/3.22 tff(1030,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[326, 1029])).
% 3.04/3.22 tff(1031,plain,((~(Y!0 = n0)) | (~(X!1 = n2))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(1032,plain,
% 3.04/3.22 (~(Y!0 = n0)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1031, 925])).
% 3.04/3.22 tff(1033,assumption,(Y!0 = n4), introduced(assumption)).
% 3.04/3.22 tff(1034,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n4, n4)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[524, 1033])).
% 3.04/3.22 tff(1035,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n8),
% 3.04/3.22 inference(transitivity,[status(thm)],[1034, 809])).
% 3.04/3.22 tff(1036,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n8)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1035])).
% 3.04/3.22 tff(1037,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n7),
% 3.04/3.22 inference(transitivity,[status(thm)],[1036, 166])).
% 3.04/3.22 tff(1038,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n4, n7)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1033, 1037])).
% 3.04/3.22 tff(1039,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n0),
% 3.04/3.22 inference(transitivity,[status(thm)],[1038, 533])).
% 3.04/3.22 tff(1040,plain,
% 3.04/3.22 (succ(n4) = n5),
% 3.04/3.22 inference(and_elim,[status(thm)],[13])).
% 3.04/3.22 tff(1041,plain,
% 3.04/3.22 (succ(Y!0) = succ(n4)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1033])).
% 3.04/3.22 tff(1042,plain,
% 3.04/3.22 (succ(Y!0) = n5),
% 3.04/3.22 inference(transitivity,[status(thm)],[1041, 1040])).
% 3.04/3.22 tff(1043,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n4, n5)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[524, 1042])).
% 3.04/3.22 tff(1044,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n9),
% 3.04/3.22 inference(transitivity,[status(thm)],[1043, 523])).
% 3.04/3.22 tff(1045,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n9)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1044])).
% 3.04/3.22 tff(1046,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n8),
% 3.04/3.22 inference(transitivity,[status(thm)],[1045, 174])).
% 3.04/3.22 tff(1047,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n8, n0)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1046, 1039])).
% 3.04/3.22 tff(1048,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8),
% 3.04/3.22 inference(transitivity,[status(thm)],[1047, 560])).
% 3.04/3.22 tff(1049,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[142, 1048])).
% 3.04/3.22 tff(1050,plain,((~(X!1 = n4)) | (~(Y!0 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(1051,plain,
% 3.04/3.22 (~(X!1 = n4)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1050, 1033])).
% 3.04/3.22 tff(1052,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n5, n4)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[364, 1033])).
% 3.04/3.22 tff(1053,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n9),
% 3.04/3.22 inference(transitivity,[status(thm)],[1052, 695])).
% 3.04/3.22 tff(1054,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n9)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1053])).
% 3.04/3.22 tff(1055,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n8),
% 3.04/3.22 inference(transitivity,[status(thm)],[1054, 174])).
% 3.04/3.22 tff(1056,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n4, n8)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1033, 1055])).
% 3.04/3.22 tff(1057,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n1),
% 3.04/3.22 inference(transitivity,[status(thm)],[1056, 472])).
% 3.04/3.22 tff(1058,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n5, n5)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[364, 1042])).
% 3.04/3.22 tff(1059,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n10),
% 3.04/3.22 inference(transitivity,[status(thm)],[1058, 436])).
% 3.04/3.22 tff(1060,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n10)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1059])).
% 3.04/3.22 tff(1061,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n9),
% 3.04/3.22 inference(transitivity,[status(thm)],[1060, 290])).
% 3.04/3.22 tff(1062,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n9, n1)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1061, 1057])).
% 3.04/3.22 tff(1063,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n10),
% 3.04/3.22 inference(transitivity,[status(thm)],[1062, 576])).
% 3.04/3.22 tff(1064,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[246, 1063])).
% 3.04/3.22 tff(1065,plain,((~(X!1 = n5)) | (~(Y!0 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(1066,plain,
% 3.04/3.22 (~(X!1 = n5)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1065, 1033])).
% 3.04/3.22 tff(1067,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n7, n4)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[27, 1033])).
% 3.04/3.22 tff(1068,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n0),
% 3.04/3.22 inference(transitivity,[status(thm)],[1067, 147])).
% 3.04/3.22 tff(1069,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n0)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1068])).
% 3.04/3.22 tff(1070,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n10),
% 3.04/3.22 inference(transitivity,[status(thm)],[1069, 297])).
% 3.04/3.22 tff(1071,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n4, n10)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1033, 1070])).
% 3.04/3.22 tff(1072,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n3),
% 3.04/3.22 inference(transitivity,[status(thm)],[1071, 47])).
% 3.04/3.22 tff(1073,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n7, n5)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[27, 1042])).
% 3.04/3.22 tff(1074,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n1),
% 3.04/3.22 inference(transitivity,[status(thm)],[1073, 19])).
% 3.04/3.22 tff(1075,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n1)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1074])).
% 3.04/3.22 tff(1076,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n0),
% 3.04/3.22 inference(transitivity,[status(thm)],[1075, 269])).
% 3.04/3.22 tff(1077,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n0, n3)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1076, 1072])).
% 3.04/3.22 tff(1078,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3),
% 3.04/3.22 inference(transitivity,[status(thm)],[1077, 610])).
% 3.04/3.22 tff(1079,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[326, 1078])).
% 3.04/3.22 tff(1080,plain,((~(X!1 = n7)) | (~(Y!0 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(1081,plain,
% 3.04/3.22 (~(X!1 = n7)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1080, 1033])).
% 3.04/3.22 tff(1082,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n9, n4)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[125, 1033])).
% 3.04/3.22 tff(1083,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n2),
% 3.04/3.22 inference(transitivity,[status(thm)],[1082, 190])).
% 3.04/3.22 tff(1084,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n2)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1083])).
% 3.04/3.22 tff(1085,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n1),
% 3.04/3.22 inference(transitivity,[status(thm)],[1084, 81])).
% 3.04/3.22 tff(1086,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n4, n1)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1033, 1085])).
% 3.04/3.22 tff(1087,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n5),
% 3.04/3.22 inference(transitivity,[status(thm)],[1086, 226])).
% 3.04/3.22 tff(1088,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n9, n5)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[125, 1042])).
% 3.04/3.22 tff(1089,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n3),
% 3.04/3.22 inference(transitivity,[status(thm)],[1088, 209])).
% 3.04/3.22 tff(1090,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n3)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1089])).
% 3.04/3.22 tff(1091,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n2),
% 3.04/3.22 inference(transitivity,[status(thm)],[1090, 25])).
% 3.04/3.22 tff(1092,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n2, n5)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1091, 1087])).
% 3.04/3.22 tff(1093,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7),
% 3.04/3.22 inference(transitivity,[status(thm)],[1092, 592])).
% 3.04/3.22 tff(1094,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[205, 1093])).
% 3.04/3.22 tff(1095,plain,((~(X!1 = n9)) | (~(Y!0 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(1096,plain,
% 3.04/3.22 (~(X!1 = n9)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1095, 1033])).
% 3.04/3.22 tff(1097,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n8, n4)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[50, 1033])).
% 3.04/3.22 tff(1098,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n1),
% 3.04/3.22 inference(transitivity,[status(thm)],[1097, 52])).
% 3.04/3.22 tff(1099,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n1)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1098])).
% 3.04/3.22 tff(1100,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n0),
% 3.04/3.22 inference(transitivity,[status(thm)],[1099, 269])).
% 3.04/3.22 tff(1101,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n4, n0)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1033, 1100])).
% 3.04/3.22 tff(1102,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n4),
% 3.04/3.22 inference(transitivity,[status(thm)],[1101, 14])).
% 3.04/3.22 tff(1103,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n8, n5)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[50, 1042])).
% 3.04/3.22 tff(1104,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n2),
% 3.04/3.22 inference(transitivity,[status(thm)],[1103, 126])).
% 3.04/3.22 tff(1105,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n2)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1104])).
% 3.04/3.22 tff(1106,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n1),
% 3.04/3.22 inference(transitivity,[status(thm)],[1105, 81])).
% 3.04/3.22 tff(1107,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n1, n4)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1106, 1102])).
% 3.04/3.22 tff(1108,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5),
% 3.04/3.22 inference(transitivity,[status(thm)],[1107, 908])).
% 3.04/3.22 tff(1109,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[161, 1108])).
% 3.04/3.22 tff(1110,plain,((~(X!1 = n8)) | (~(Y!0 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(1111,plain,
% 3.04/3.22 (~(X!1 = n8)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1110, 1033])).
% 3.04/3.22 tff(1112,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n10, n4)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[105, 1033])).
% 3.04/3.22 tff(1113,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n3),
% 3.04/3.22 inference(transitivity,[status(thm)],[1112, 525])).
% 3.04/3.22 tff(1114,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n3)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1113])).
% 3.04/3.22 tff(1115,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n2),
% 3.04/3.22 inference(transitivity,[status(thm)],[1114, 25])).
% 3.04/3.22 tff(1116,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n4, n2)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1033, 1115])).
% 3.04/3.22 tff(1117,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n6),
% 3.04/3.22 inference(transitivity,[status(thm)],[1116, 593])).
% 3.04/3.22 tff(1118,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n10, n5)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[105, 1042])).
% 3.04/3.22 tff(1119,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n4),
% 3.04/3.22 inference(transitivity,[status(thm)],[1118, 474])).
% 3.04/3.22 tff(1120,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n4)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1119])).
% 3.04/3.22 tff(1121,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n3),
% 3.04/3.22 inference(transitivity,[status(thm)],[1120, 16])).
% 3.04/3.22 tff(1122,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n3, n6)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1121, 1117])).
% 3.04/3.22 tff(1123,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9),
% 3.04/3.22 inference(transitivity,[status(thm)],[1122, 731])).
% 3.04/3.22 tff(1124,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[98, 1123])).
% 3.04/3.22 tff(1125,plain,((~(X!1 = n10)) | (~(Y!0 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(1126,plain,
% 3.04/3.22 (~(X!1 = n10)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1125, 1033])).
% 3.04/3.22 tff(1127,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n6, n4)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[229, 1033])).
% 3.04/3.22 tff(1128,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n10),
% 3.04/3.22 inference(transitivity,[status(thm)],[1127, 103])).
% 3.04/3.22 tff(1129,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n10)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1128])).
% 3.04/3.22 tff(1130,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n9),
% 3.04/3.22 inference(transitivity,[status(thm)],[1129, 290])).
% 3.04/3.22 tff(1131,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n4, n9)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1033, 1130])).
% 3.04/3.22 tff(1132,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n2),
% 3.04/3.22 inference(transitivity,[status(thm)],[1131, 122])).
% 3.04/3.22 tff(1133,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n6, n5)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[229, 1042])).
% 3.04/3.22 tff(1134,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n0),
% 3.04/3.22 inference(transitivity,[status(thm)],[1133, 491])).
% 3.04/3.22 tff(1135,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n0)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1134])).
% 3.04/3.22 tff(1136,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n10),
% 3.04/3.22 inference(transitivity,[status(thm)],[1135, 297])).
% 3.04/3.22 tff(1137,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n10, n2)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1136, 1132])).
% 3.04/3.22 tff(1138,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1),
% 3.04/3.22 inference(transitivity,[status(thm)],[1137, 312])).
% 3.04/3.22 tff(1139,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[43, 1138])).
% 3.04/3.22 tff(1140,plain,((~(X!1 = n6)) | (~(Y!0 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(1141,plain,
% 3.04/3.22 (~(X!1 = n6)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1140, 1033])).
% 3.04/3.22 tff(1142,plain,
% 3.04/3.22 (sum(n3, n4) = n7),
% 3.04/3.22 inference(and_elim,[status(thm)],[13])).
% 3.04/3.22 tff(1143,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n3, n4)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[713, 1033])).
% 3.04/3.22 tff(1144,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n7),
% 3.04/3.22 inference(transitivity,[status(thm)],[1143, 1142])).
% 3.04/3.22 tff(1145,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n7)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1144])).
% 3.04/3.22 tff(1146,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n6),
% 3.04/3.22 inference(transitivity,[status(thm)],[1145, 134])).
% 3.04/3.22 tff(1147,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n4, n6)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1033, 1146])).
% 3.04/3.22 tff(1148,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n10),
% 3.04/3.22 inference(transitivity,[status(thm)],[1147, 526])).
% 3.04/3.22 tff(1149,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n3, n5)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[713, 1042])).
% 3.04/3.22 tff(1150,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n8),
% 3.04/3.22 inference(transitivity,[status(thm)],[1149, 793])).
% 3.04/3.22 tff(1151,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n8)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1150])).
% 3.04/3.22 tff(1152,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n7),
% 3.04/3.22 inference(transitivity,[status(thm)],[1151, 166])).
% 3.04/3.22 tff(1153,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n7, n10)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1152, 1148])).
% 3.04/3.22 tff(1154,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6),
% 3.04/3.22 inference(transitivity,[status(thm)],[1153, 198])).
% 3.04/3.22 tff(1155,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[72, 1154])).
% 3.04/3.22 tff(1156,plain,((~(X!1 = n3)) | (~(Y!0 = n4))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(1157,plain,
% 3.04/3.22 (~(X!1 = n3)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1156, 1033])).
% 3.04/3.22 tff(1158,assumption,(X!1 = n1), introduced(assumption)).
% 3.04/3.22 tff(1159,plain,
% 3.04/3.22 (sum(n1, n0) = n1),
% 3.04/3.22 inference(and_elim,[status(thm)],[13])).
% 3.04/3.22 tff(1160,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n1, n0)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1158, 611])).
% 3.04/3.22 tff(1161,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n1),
% 3.04/3.22 inference(transitivity,[status(thm)],[1160, 1159])).
% 3.04/3.22 tff(1162,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n1)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1161])).
% 3.04/3.22 tff(1163,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n0),
% 3.04/3.22 inference(transitivity,[status(thm)],[1162, 269])).
% 3.04/3.22 tff(1164,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n0, n0)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[611, 1163])).
% 3.04/3.22 tff(1165,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n0),
% 3.04/3.22 inference(transitivity,[status(thm)],[1164, 876])).
% 3.04/3.22 tff(1166,plain,
% 3.04/3.22 (sum(n1, n1) = n2),
% 3.04/3.22 inference(and_elim,[status(thm)],[13])).
% 3.04/3.22 tff(1167,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n1, n1)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1158, 620])).
% 3.04/3.22 tff(1168,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n2),
% 3.04/3.22 inference(transitivity,[status(thm)],[1167, 1166])).
% 3.04/3.22 tff(1169,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n2)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1168])).
% 3.04/3.22 tff(1170,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n1),
% 3.04/3.22 inference(transitivity,[status(thm)],[1169, 81])).
% 3.04/3.22 tff(1171,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n1, n0)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1170, 1165])).
% 3.04/3.22 tff(1172,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1),
% 3.04/3.22 inference(transitivity,[status(thm)],[1171, 1159])).
% 3.04/3.22 tff(1173,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[43, 1172])).
% 3.04/3.22 tff(1174,plain,((~(Y!0 = n0)) | (~(X!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(1175,plain,
% 3.04/3.22 (~(Y!0 = n0)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1174, 1158])).
% 3.04/3.22 tff(1176,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n1, n5)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1158, 437])).
% 3.04/3.22 tff(1177,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n6),
% 3.04/3.22 inference(transitivity,[status(thm)],[1176, 507])).
% 3.04/3.22 tff(1178,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n6)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1177])).
% 3.04/3.22 tff(1179,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n5),
% 3.04/3.22 inference(transitivity,[status(thm)],[1178, 20])).
% 3.04/3.22 tff(1180,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n5, n5)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[437, 1179])).
% 3.04/3.22 tff(1181,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n10),
% 3.04/3.22 inference(transitivity,[status(thm)],[1180, 436])).
% 3.04/3.22 tff(1182,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n1, n6)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1158, 447])).
% 3.04/3.22 tff(1183,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n7),
% 3.04/3.22 inference(transitivity,[status(thm)],[1182, 267])).
% 3.04/3.22 tff(1184,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n7)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1183])).
% 3.04/3.22 tff(1185,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n6),
% 3.04/3.22 inference(transitivity,[status(thm)],[1184, 134])).
% 3.04/3.22 tff(1186,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n6, n10)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1185, 1181])).
% 3.04/3.22 tff(1187,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5),
% 3.04/3.22 inference(transitivity,[status(thm)],[1186, 419])).
% 3.04/3.22 tff(1188,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[161, 1187])).
% 3.04/3.22 tff(1189,plain,((~(Y!0 = n5)) | (~(X!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(1190,plain,
% 3.04/3.22 (~(Y!0 = n5)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1189, 1158])).
% 3.04/3.22 tff(1191,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n1, n2)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1158, 287])).
% 3.04/3.22 tff(1192,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n3),
% 3.04/3.22 inference(transitivity,[status(thm)],[1191, 310])).
% 3.04/3.22 tff(1193,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n3)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1192])).
% 3.04/3.22 tff(1194,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n2),
% 3.04/3.22 inference(transitivity,[status(thm)],[1193, 25])).
% 3.04/3.22 tff(1195,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n2, n2)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[287, 1194])).
% 3.04/3.22 tff(1196,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n4),
% 3.04/3.22 inference(transitivity,[status(thm)],[1195, 942])).
% 3.04/3.22 tff(1197,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n1, n3)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1158, 300])).
% 3.04/3.22 tff(1198,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n4),
% 3.04/3.22 inference(transitivity,[status(thm)],[1197, 810])).
% 3.04/3.22 tff(1199,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n4)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1198])).
% 3.04/3.22 tff(1200,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n3),
% 3.04/3.22 inference(transitivity,[status(thm)],[1199, 16])).
% 3.04/3.22 tff(1201,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n3, n4)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1200, 1196])).
% 3.04/3.22 tff(1202,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7),
% 3.04/3.22 inference(transitivity,[status(thm)],[1201, 1142])).
% 3.04/3.22 tff(1203,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[205, 1202])).
% 3.04/3.22 tff(1204,plain,((~(Y!0 = n2)) | (~(X!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(1205,plain,
% 3.04/3.22 (~(Y!0 = n2)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1204, 1158])).
% 3.04/3.22 tff(1206,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n1, n6)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1158, 79])).
% 3.04/3.22 tff(1207,plain,
% 3.04/3.22 (sum(X!1, Y!0) = n7),
% 3.04/3.22 inference(transitivity,[status(thm)],[1206, 267])).
% 3.04/3.22 tff(1208,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = pred(n7)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1207])).
% 3.04/3.22 tff(1209,plain,
% 3.04/3.22 (pred(sum(X!1, Y!0)) = n6),
% 3.04/3.22 inference(transitivity,[status(thm)],[1208, 134])).
% 3.04/3.22 tff(1210,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n6, n6)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[79, 1209])).
% 3.04/3.22 tff(1211,plain,
% 3.04/3.22 (sum(Y!0, pred(sum(X!1, Y!0))) = n1),
% 3.04/3.22 inference(transitivity,[status(thm)],[1210, 270])).
% 3.04/3.22 tff(1212,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = sum(n1, n7)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1158, 91])).
% 3.04/3.22 tff(1213,plain,
% 3.04/3.22 (sum(X!1, succ(Y!0)) = n8),
% 3.04/3.22 inference(transitivity,[status(thm)],[1212, 365])).
% 3.04/3.22 tff(1214,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = pred(n8)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1213])).
% 3.04/3.22 tff(1215,plain,
% 3.04/3.22 (pred(sum(X!1, succ(Y!0))) = n7),
% 3.04/3.22 inference(transitivity,[status(thm)],[1214, 166])).
% 3.04/3.22 tff(1216,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n7, n1)),
% 3.04/3.22 inference(monotonicity,[status(thm)],[1215, 1211])).
% 3.04/3.22 tff(1217,plain,
% 3.04/3.22 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8),
% 3.04/3.22 inference(transitivity,[status(thm)],[1216, 231])).
% 3.04/3.22 tff(1218,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[142, 1217])).
% 3.04/3.22 tff(1219,plain,((~(Y!0 = n6)) | (~(X!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(1220,plain,
% 3.04/3.22 (~(Y!0 = n6)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1219, 1158])).
% 3.04/3.22 tff(1221,plain,
% 3.04/3.22 (sum(X!1, Y!0) = sum(n1, n7)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1158, 22])).
% 3.04/3.23 tff(1222,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n8),
% 3.04/3.23 inference(transitivity,[status(thm)],[1221, 365])).
% 3.04/3.23 tff(1223,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n8)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1222])).
% 3.04/3.23 tff(1224,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n7),
% 3.04/3.23 inference(transitivity,[status(thm)],[1223, 166])).
% 3.04/3.23 tff(1225,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n7, n7)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[22, 1224])).
% 3.04/3.23 tff(1226,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n3),
% 3.04/3.23 inference(transitivity,[status(thm)],[1225, 26])).
% 3.04/3.23 tff(1227,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n1, n8)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1158, 36])).
% 3.04/3.23 tff(1228,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n9),
% 3.04/3.23 inference(transitivity,[status(thm)],[1227, 559])).
% 3.04/3.23 tff(1229,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n9)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1228])).
% 3.04/3.23 tff(1230,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n8),
% 3.04/3.23 inference(transitivity,[status(thm)],[1229, 174])).
% 3.04/3.23 tff(1231,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n8, n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1230, 1226])).
% 3.04/3.23 tff(1232,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0),
% 3.04/3.23 inference(transitivity,[status(thm)],[1231, 15])).
% 3.04/3.23 tff(1233,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[398, 1232])).
% 3.04/3.23 tff(1234,plain,((~(Y!0 = n7)) | (~(X!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1235,plain,
% 3.04/3.23 (~(Y!0 = n7)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1234, 1158])).
% 3.04/3.23 tff(1236,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n1, n8)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1158, 55])).
% 3.04/3.23 tff(1237,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n9),
% 3.04/3.23 inference(transitivity,[status(thm)],[1236, 559])).
% 3.04/3.23 tff(1238,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n9)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1237])).
% 3.04/3.23 tff(1239,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n8),
% 3.04/3.23 inference(transitivity,[status(thm)],[1238, 174])).
% 3.04/3.23 tff(1240,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n8, n8)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[55, 1239])).
% 3.04/3.23 tff(1241,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n5),
% 3.04/3.23 inference(transitivity,[status(thm)],[1240, 54])).
% 3.04/3.23 tff(1242,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n1, n9)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1158, 65])).
% 3.04/3.23 tff(1243,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n10),
% 3.04/3.23 inference(transitivity,[status(thm)],[1242, 777])).
% 3.04/3.23 tff(1244,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n10)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1243])).
% 3.04/3.23 tff(1245,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n9),
% 3.04/3.23 inference(transitivity,[status(thm)],[1244, 290])).
% 3.04/3.23 tff(1246,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n9, n5)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1245, 1241])).
% 3.04/3.23 tff(1247,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3),
% 3.04/3.23 inference(transitivity,[status(thm)],[1246, 209])).
% 3.04/3.23 tff(1248,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[326, 1247])).
% 3.04/3.23 tff(1249,plain,((~(Y!0 = n8)) | (~(X!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1250,plain,
% 3.04/3.23 (~(Y!0 = n8)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1249, 1158])).
% 3.04/3.23 tff(1251,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n1, n9)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1158, 165])).
% 3.04/3.23 tff(1252,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n10),
% 3.04/3.23 inference(transitivity,[status(thm)],[1251, 777])).
% 3.04/3.23 tff(1253,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n10)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1252])).
% 3.04/3.23 tff(1254,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n9),
% 3.04/3.23 inference(transitivity,[status(thm)],[1253, 290])).
% 3.04/3.23 tff(1255,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n9, n9)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[165, 1254])).
% 3.04/3.23 tff(1256,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n7),
% 3.04/3.23 inference(transitivity,[status(thm)],[1255, 135])).
% 3.04/3.23 tff(1257,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n1, n10)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1158, 178])).
% 3.04/3.23 tff(1258,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n0),
% 3.04/3.23 inference(transitivity,[status(thm)],[1257, 877])).
% 3.04/3.23 tff(1259,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n0)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1258])).
% 3.04/3.23 tff(1260,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n10),
% 3.04/3.23 inference(transitivity,[status(thm)],[1259, 297])).
% 3.04/3.23 tff(1261,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n10, n7)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1260, 1256])).
% 3.04/3.23 tff(1262,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6),
% 3.04/3.23 inference(transitivity,[status(thm)],[1261, 21])).
% 3.04/3.23 tff(1263,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[72, 1262])).
% 3.04/3.23 tff(1264,plain,((~(Y!0 = n9)) | (~(X!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1265,plain,
% 3.04/3.23 (~(Y!0 = n9)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1264, 1158])).
% 3.04/3.23 tff(1266,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n1, n1)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1158, 812])).
% 3.04/3.23 tff(1267,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n2),
% 3.04/3.23 inference(transitivity,[status(thm)],[1266, 1166])).
% 3.04/3.23 tff(1268,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n2)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1267])).
% 3.04/3.23 tff(1269,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n1),
% 3.04/3.23 inference(transitivity,[status(thm)],[1268, 81])).
% 3.04/3.23 tff(1270,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n1, n1)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[812, 1269])).
% 3.04/3.23 tff(1271,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n2),
% 3.04/3.23 inference(transitivity,[status(thm)],[1270, 1166])).
% 3.04/3.23 tff(1272,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n1, n2)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1158, 821])).
% 3.04/3.23 tff(1273,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n3),
% 3.04/3.23 inference(transitivity,[status(thm)],[1272, 310])).
% 3.04/3.23 tff(1274,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1273])).
% 3.04/3.23 tff(1275,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n2),
% 3.04/3.23 inference(transitivity,[status(thm)],[1274, 25])).
% 3.04/3.23 tff(1276,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n2, n2)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1275, 1271])).
% 3.04/3.23 tff(1277,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4),
% 3.04/3.23 inference(transitivity,[status(thm)],[1276, 942])).
% 3.04/3.23 tff(1278,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[118, 1277])).
% 3.04/3.23 tff(1279,plain,((~(Y!0 = n1)) | (~(X!1 = n1))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1280,plain,
% 3.04/3.23 (~(Y!0 = n1)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1279, 1158])).
% 3.04/3.23 tff(1281,assumption,(Y!0 = n3), introduced(assumption)).
% 3.04/3.23 tff(1282,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n3, n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[713, 1281])).
% 3.04/3.23 tff(1283,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n6),
% 3.04/3.23 inference(transitivity,[status(thm)],[1282, 721])).
% 3.04/3.23 tff(1284,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n6)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1283])).
% 3.04/3.23 tff(1285,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n5),
% 3.04/3.23 inference(transitivity,[status(thm)],[1284, 20])).
% 3.04/3.23 tff(1286,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n3, n5)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1281, 1285])).
% 3.04/3.23 tff(1287,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n8),
% 3.04/3.23 inference(transitivity,[status(thm)],[1286, 793])).
% 3.04/3.23 tff(1288,plain,
% 3.04/3.23 (succ(n3) = n4),
% 3.04/3.23 inference(and_elim,[status(thm)],[13])).
% 3.04/3.23 tff(1289,plain,
% 3.04/3.23 (succ(Y!0) = succ(n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1281])).
% 3.04/3.23 tff(1290,plain,
% 3.04/3.23 (succ(Y!0) = n4),
% 3.04/3.23 inference(transitivity,[status(thm)],[1289, 1288])).
% 3.04/3.23 tff(1291,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n3, n4)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[713, 1290])).
% 3.04/3.23 tff(1292,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n7),
% 3.04/3.23 inference(transitivity,[status(thm)],[1291, 1142])).
% 3.04/3.23 tff(1293,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n7)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1292])).
% 3.04/3.23 tff(1294,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n6),
% 3.04/3.23 inference(transitivity,[status(thm)],[1293, 134])).
% 3.04/3.23 tff(1295,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n6, n8)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1294, 1287])).
% 3.04/3.23 tff(1296,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3),
% 3.04/3.23 inference(transitivity,[status(thm)],[1295, 239])).
% 3.04/3.23 tff(1297,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[326, 1296])).
% 3.04/3.23 tff(1298,plain,((~(X!1 = n3)) | (~(Y!0 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1299,plain,
% 3.04/3.23 (~(X!1 = n3)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1298, 1281])).
% 3.04/3.23 tff(1300,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n4, n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[524, 1281])).
% 3.04/3.23 tff(1301,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n7),
% 3.04/3.23 inference(transitivity,[status(thm)],[1300, 600])).
% 3.04/3.23 tff(1302,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n7)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1301])).
% 3.04/3.23 tff(1303,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n6),
% 3.04/3.23 inference(transitivity,[status(thm)],[1302, 134])).
% 3.04/3.23 tff(1304,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n3, n6)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1281, 1303])).
% 3.04/3.23 tff(1305,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n9),
% 3.04/3.23 inference(transitivity,[status(thm)],[1304, 731])).
% 3.04/3.23 tff(1306,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n4, n4)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[524, 1290])).
% 3.04/3.23 tff(1307,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n8),
% 3.04/3.23 inference(transitivity,[status(thm)],[1306, 809])).
% 3.04/3.23 tff(1308,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n8)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1307])).
% 3.04/3.23 tff(1309,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n7),
% 3.04/3.23 inference(transitivity,[status(thm)],[1308, 166])).
% 3.04/3.23 tff(1310,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n7, n9)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1309, 1305])).
% 3.04/3.23 tff(1311,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5),
% 3.04/3.23 inference(transitivity,[status(thm)],[1310, 191])).
% 3.04/3.23 tff(1312,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[161, 1311])).
% 3.04/3.23 tff(1313,plain,((~(X!1 = n4)) | (~(Y!0 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1314,plain,
% 3.04/3.23 (~(X!1 = n4)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1313, 1281])).
% 3.04/3.23 tff(1315,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n5, n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[364, 1281])).
% 3.04/3.23 tff(1316,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n8),
% 3.04/3.23 inference(transitivity,[status(thm)],[1315, 473])).
% 3.04/3.23 tff(1317,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n8)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1316])).
% 3.04/3.23 tff(1318,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n7),
% 3.04/3.23 inference(transitivity,[status(thm)],[1317, 166])).
% 3.04/3.23 tff(1319,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n3, n7)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1281, 1318])).
% 3.04/3.23 tff(1320,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n10),
% 3.04/3.23 inference(transitivity,[status(thm)],[1319, 438])).
% 3.04/3.23 tff(1321,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n5, n4)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[364, 1290])).
% 3.04/3.23 tff(1322,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n9),
% 3.04/3.23 inference(transitivity,[status(thm)],[1321, 695])).
% 3.04/3.23 tff(1323,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n9)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1322])).
% 3.04/3.23 tff(1324,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n8),
% 3.04/3.23 inference(transitivity,[status(thm)],[1323, 174])).
% 3.04/3.23 tff(1325,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n8, n10)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1324, 1320])).
% 3.04/3.23 tff(1326,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7),
% 3.04/3.23 inference(transitivity,[status(thm)],[1325, 216])).
% 3.04/3.23 tff(1327,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[205, 1326])).
% 3.04/3.23 tff(1328,plain,((~(X!1 = n5)) | (~(Y!0 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1329,plain,
% 3.04/3.23 (~(X!1 = n5)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1328, 1281])).
% 3.04/3.23 tff(1330,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n7, n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[27, 1281])).
% 3.04/3.23 tff(1331,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n10),
% 3.04/3.23 inference(transitivity,[status(thm)],[1330, 48])).
% 3.04/3.23 tff(1332,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n10)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1331])).
% 3.04/3.23 tff(1333,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n9),
% 3.04/3.23 inference(transitivity,[status(thm)],[1332, 290])).
% 3.04/3.23 tff(1334,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n3, n9)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1281, 1333])).
% 3.04/3.23 tff(1335,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n1),
% 3.04/3.23 inference(transitivity,[status(thm)],[1334, 23])).
% 3.04/3.23 tff(1336,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n7, n4)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[27, 1290])).
% 3.04/3.23 tff(1337,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n0),
% 3.04/3.23 inference(transitivity,[status(thm)],[1336, 147])).
% 3.04/3.23 tff(1338,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n0)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1337])).
% 3.04/3.23 tff(1339,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n10),
% 3.04/3.23 inference(transitivity,[status(thm)],[1338, 297])).
% 3.04/3.23 tff(1340,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n10, n1)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1339, 1335])).
% 3.04/3.23 tff(1341,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0),
% 3.04/3.23 inference(transitivity,[status(thm)],[1340, 670])).
% 3.04/3.23 tff(1342,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[398, 1341])).
% 3.04/3.23 tff(1343,plain,((~(X!1 = n7)) | (~(Y!0 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1344,plain,
% 3.04/3.23 (~(X!1 = n7)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1343, 1281])).
% 3.04/3.23 tff(1345,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n9, n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[125, 1281])).
% 3.04/3.23 tff(1346,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n1),
% 3.04/3.23 inference(transitivity,[status(thm)],[1345, 227])).
% 3.04/3.23 tff(1347,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n1)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1346])).
% 3.04/3.23 tff(1348,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n0),
% 3.04/3.23 inference(transitivity,[status(thm)],[1347, 269])).
% 3.04/3.23 tff(1349,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n3, n0)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1281, 1348])).
% 3.04/3.23 tff(1350,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n3),
% 3.04/3.23 inference(transitivity,[status(thm)],[1349, 402])).
% 3.04/3.23 tff(1351,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n9, n4)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[125, 1290])).
% 3.04/3.23 tff(1352,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n2),
% 3.04/3.23 inference(transitivity,[status(thm)],[1351, 190])).
% 3.04/3.23 tff(1353,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n2)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1352])).
% 3.04/3.23 tff(1354,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n1),
% 3.04/3.23 inference(transitivity,[status(thm)],[1353, 81])).
% 3.04/3.23 tff(1355,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n1, n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1354, 1350])).
% 3.04/3.23 tff(1356,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4),
% 3.04/3.23 inference(transitivity,[status(thm)],[1355, 810])).
% 3.04/3.23 tff(1357,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[118, 1356])).
% 3.04/3.23 tff(1358,plain,((~(X!1 = n9)) | (~(Y!0 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1359,plain,
% 3.04/3.23 (~(X!1 = n9)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1358, 1281])).
% 3.04/3.23 tff(1360,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n8, n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[50, 1281])).
% 3.04/3.23 tff(1361,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n0),
% 3.04/3.23 inference(transitivity,[status(thm)],[1360, 15])).
% 3.04/3.23 tff(1362,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n0)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1361])).
% 3.04/3.23 tff(1363,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n10),
% 3.04/3.23 inference(transitivity,[status(thm)],[1362, 297])).
% 3.04/3.23 tff(1364,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n3, n10)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1281, 1363])).
% 3.04/3.23 tff(1365,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n2),
% 3.04/3.23 inference(transitivity,[status(thm)],[1364, 250])).
% 3.04/3.23 tff(1366,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n8, n4)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[50, 1290])).
% 3.04/3.23 tff(1367,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n1),
% 3.04/3.23 inference(transitivity,[status(thm)],[1366, 52])).
% 3.04/3.23 tff(1368,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n1)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1367])).
% 3.04/3.23 tff(1369,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n0),
% 3.04/3.23 inference(transitivity,[status(thm)],[1368, 269])).
% 3.04/3.23 tff(1370,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n0, n2)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1369, 1365])).
% 3.04/3.23 tff(1371,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2),
% 3.04/3.23 inference(transitivity,[status(thm)],[1370, 712])).
% 3.04/3.23 tff(1372,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[185, 1371])).
% 3.04/3.23 tff(1373,plain,((~(X!1 = n8)) | (~(Y!0 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1374,plain,
% 3.04/3.23 (~(X!1 = n8)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1373, 1281])).
% 3.04/3.23 tff(1375,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n10, n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[105, 1281])).
% 3.04/3.23 tff(1376,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n2),
% 3.04/3.23 inference(transitivity,[status(thm)],[1375, 319])).
% 3.04/3.23 tff(1377,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n2)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1376])).
% 3.04/3.23 tff(1378,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n1),
% 3.04/3.23 inference(transitivity,[status(thm)],[1377, 81])).
% 3.04/3.23 tff(1379,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n3, n1)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1281, 1378])).
% 3.04/3.23 tff(1380,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n4),
% 3.04/3.23 inference(transitivity,[status(thm)],[1379, 811])).
% 3.04/3.23 tff(1381,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n10, n4)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[105, 1290])).
% 3.04/3.23 tff(1382,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n3),
% 3.04/3.23 inference(transitivity,[status(thm)],[1381, 525])).
% 3.04/3.23 tff(1383,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1382])).
% 3.04/3.23 tff(1384,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n2),
% 3.04/3.23 inference(transitivity,[status(thm)],[1383, 25])).
% 3.04/3.23 tff(1385,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n2, n4)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1384, 1380])).
% 3.04/3.23 tff(1386,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6),
% 3.04/3.23 inference(transitivity,[status(thm)],[1385, 714])).
% 3.04/3.23 tff(1387,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[72, 1386])).
% 3.04/3.23 tff(1388,plain,((~(X!1 = n10)) | (~(Y!0 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1389,plain,
% 3.04/3.23 (~(X!1 = n10)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1388, 1281])).
% 3.04/3.23 tff(1390,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n6, n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[229, 1281])).
% 3.04/3.23 tff(1391,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n9),
% 3.04/3.23 inference(transitivity,[status(thm)],[1390, 123])).
% 3.04/3.23 tff(1392,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n9)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1391])).
% 3.04/3.23 tff(1393,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n8),
% 3.04/3.23 inference(transitivity,[status(thm)],[1392, 174])).
% 3.04/3.23 tff(1394,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n3, n8)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1281, 1393])).
% 3.04/3.23 tff(1395,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n0),
% 3.04/3.23 inference(transitivity,[status(thm)],[1394, 76])).
% 3.04/3.23 tff(1396,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n6, n4)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[229, 1290])).
% 3.04/3.23 tff(1397,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n10),
% 3.04/3.23 inference(transitivity,[status(thm)],[1396, 103])).
% 3.04/3.23 tff(1398,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n10)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1397])).
% 3.04/3.23 tff(1399,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n9),
% 3.04/3.23 inference(transitivity,[status(thm)],[1398, 290])).
% 3.04/3.23 tff(1400,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n9, n0)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1399, 1395])).
% 3.04/3.23 tff(1401,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9),
% 3.04/3.23 inference(transitivity,[status(thm)],[1400, 631])).
% 3.04/3.23 tff(1402,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[98, 1401])).
% 3.04/3.23 tff(1403,plain,((~(X!1 = n6)) | (~(Y!0 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1404,plain,
% 3.04/3.23 (~(X!1 = n6)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1403, 1281])).
% 3.04/3.23 tff(1405,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n2, n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[925, 1281])).
% 3.04/3.23 tff(1406,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n5),
% 3.04/3.23 inference(transitivity,[status(thm)],[1405, 941])).
% 3.04/3.23 tff(1407,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n5)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1406])).
% 3.04/3.23 tff(1408,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n4),
% 3.04/3.23 inference(transitivity,[status(thm)],[1407, 53])).
% 3.04/3.23 tff(1409,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n3, n4)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1281, 1408])).
% 3.04/3.23 tff(1410,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n7),
% 3.04/3.23 inference(transitivity,[status(thm)],[1409, 1142])).
% 3.04/3.23 tff(1411,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n2, n4)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[925, 1290])).
% 3.04/3.23 tff(1412,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n6),
% 3.04/3.23 inference(transitivity,[status(thm)],[1411, 714])).
% 3.04/3.23 tff(1413,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n6)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1412])).
% 3.04/3.23 tff(1414,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n5),
% 3.04/3.23 inference(transitivity,[status(thm)],[1413, 20])).
% 3.04/3.23 tff(1415,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n5, n7)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1414, 1410])).
% 3.04/3.23 tff(1416,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1),
% 3.04/3.23 inference(transitivity,[status(thm)],[1415, 367])).
% 3.04/3.23 tff(1417,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[43, 1416])).
% 3.04/3.23 tff(1418,plain,((~(X!1 = n2)) | (~(Y!0 = n3))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1419,plain,
% 3.04/3.23 (~(X!1 = n2)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1418, 1281])).
% 3.04/3.23 tff(1420,assumption,(X!1 = n0), introduced(assumption)).
% 3.04/3.23 tff(1421,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n0, n1)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1420, 812])).
% 3.04/3.23 tff(1422,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n1),
% 3.04/3.23 inference(transitivity,[status(thm)],[1421, 345])).
% 3.04/3.23 tff(1423,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n1)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1422])).
% 3.04/3.23 tff(1424,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n0),
% 3.04/3.23 inference(transitivity,[status(thm)],[1423, 269])).
% 3.04/3.23 tff(1425,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n1, n0)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[812, 1424])).
% 3.04/3.23 tff(1426,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n1),
% 3.04/3.23 inference(transitivity,[status(thm)],[1425, 1159])).
% 3.04/3.23 tff(1427,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n0, n2)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1420, 821])).
% 3.04/3.23 tff(1428,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n2),
% 3.04/3.23 inference(transitivity,[status(thm)],[1427, 712])).
% 3.04/3.23 tff(1429,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n2)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1428])).
% 3.04/3.23 tff(1430,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n1),
% 3.04/3.23 inference(transitivity,[status(thm)],[1429, 81])).
% 3.04/3.23 tff(1431,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n1, n1)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1430, 1426])).
% 3.04/3.23 tff(1432,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2),
% 3.04/3.23 inference(transitivity,[status(thm)],[1431, 1166])).
% 3.04/3.23 tff(1433,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[185, 1432])).
% 3.04/3.23 tff(1434,plain,((~(Y!0 = n1)) | (~(X!1 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1435,plain,
% 3.04/3.23 (~(Y!0 = n1)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1434, 1420])).
% 3.04/3.23 tff(1436,plain,
% 3.04/3.23 (sum(n0, n10) = n10),
% 3.04/3.23 inference(and_elim,[status(thm)],[13])).
% 3.04/3.23 tff(1437,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n0, n0)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1420, 611])).
% 3.04/3.23 tff(1438,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n0),
% 3.04/3.23 inference(transitivity,[status(thm)],[1437, 876])).
% 3.04/3.23 tff(1439,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n0)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1438])).
% 3.04/3.23 tff(1440,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n10),
% 3.04/3.23 inference(transitivity,[status(thm)],[1439, 297])).
% 3.04/3.23 tff(1441,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n0, n10)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[611, 1440])).
% 3.04/3.23 tff(1442,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n10),
% 3.04/3.23 inference(transitivity,[status(thm)],[1441, 1436])).
% 3.04/3.23 tff(1443,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n0, n1)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1420, 620])).
% 3.04/3.23 tff(1444,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n1),
% 3.04/3.23 inference(transitivity,[status(thm)],[1443, 345])).
% 3.04/3.23 tff(1445,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n1)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1444])).
% 3.04/3.23 tff(1446,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n0),
% 3.04/3.23 inference(transitivity,[status(thm)],[1445, 269])).
% 3.04/3.23 tff(1447,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n0, n10)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1446, 1442])).
% 3.04/3.23 tff(1448,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n10),
% 3.04/3.23 inference(transitivity,[status(thm)],[1447, 1436])).
% 3.04/3.23 tff(1449,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[246, 1448])).
% 3.04/3.23 tff(1450,plain,((~(Y!0 = n0)) | (~(X!1 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1451,plain,
% 3.04/3.23 (~(Y!0 = n0)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1450, 1420])).
% 3.04/3.23 tff(1452,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n0, n5)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1420, 437])).
% 3.04/3.23 tff(1453,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n5),
% 3.04/3.23 inference(transitivity,[status(thm)],[1452, 418])).
% 3.04/3.23 tff(1454,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n5)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1453])).
% 3.04/3.23 tff(1455,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n4),
% 3.04/3.23 inference(transitivity,[status(thm)],[1454, 53])).
% 3.04/3.23 tff(1456,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n5, n4)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[437, 1455])).
% 3.04/3.23 tff(1457,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n9),
% 3.04/3.23 inference(transitivity,[status(thm)],[1456, 695])).
% 3.04/3.23 tff(1458,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n0, n6)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1420, 447])).
% 3.04/3.23 tff(1459,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n6),
% 3.04/3.23 inference(transitivity,[status(thm)],[1458, 543])).
% 3.04/3.23 tff(1460,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n6)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1459])).
% 3.04/3.23 tff(1461,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n5),
% 3.04/3.23 inference(transitivity,[status(thm)],[1460, 20])).
% 3.04/3.23 tff(1462,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n5, n9)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1461, 1457])).
% 3.04/3.23 tff(1463,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3),
% 3.04/3.23 inference(transitivity,[status(thm)],[1462, 391])).
% 3.04/3.23 tff(1464,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[326, 1463])).
% 3.04/3.23 tff(1465,plain,((~(Y!0 = n5)) | (~(X!1 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1466,plain,
% 3.04/3.23 (~(Y!0 = n5)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1465, 1420])).
% 3.04/3.23 tff(1467,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n0, n2)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1420, 287])).
% 3.04/3.23 tff(1468,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n2),
% 3.04/3.23 inference(transitivity,[status(thm)],[1467, 712])).
% 3.04/3.23 tff(1469,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n2)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1468])).
% 3.04/3.23 tff(1470,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n1),
% 3.04/3.23 inference(transitivity,[status(thm)],[1469, 81])).
% 3.04/3.23 tff(1471,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n2, n1)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[287, 1470])).
% 3.04/3.23 tff(1472,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n3),
% 3.04/3.23 inference(transitivity,[status(thm)],[1471, 924])).
% 3.04/3.23 tff(1473,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n0, n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1420, 300])).
% 3.04/3.23 tff(1474,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n3),
% 3.04/3.23 inference(transitivity,[status(thm)],[1473, 610])).
% 3.04/3.23 tff(1475,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1474])).
% 3.04/3.23 tff(1476,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n2),
% 3.04/3.23 inference(transitivity,[status(thm)],[1475, 25])).
% 3.04/3.23 tff(1477,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n2, n3)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1476, 1472])).
% 3.04/3.23 tff(1478,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5),
% 3.04/3.23 inference(transitivity,[status(thm)],[1477, 941])).
% 3.04/3.23 tff(1479,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[161, 1478])).
% 3.04/3.23 tff(1480,plain,((~(Y!0 = n2)) | (~(X!1 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1481,plain,
% 3.04/3.23 (~(Y!0 = n2)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1480, 1420])).
% 3.04/3.23 tff(1482,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n0, n6)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1420, 79])).
% 3.04/3.23 tff(1483,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n6),
% 3.04/3.23 inference(transitivity,[status(thm)],[1482, 543])).
% 3.04/3.23 tff(1484,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n6)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1483])).
% 3.04/3.23 tff(1485,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n5),
% 3.04/3.23 inference(transitivity,[status(thm)],[1484, 20])).
% 3.04/3.23 tff(1486,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n6, n5)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[79, 1485])).
% 3.04/3.23 tff(1487,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n0),
% 3.04/3.23 inference(transitivity,[status(thm)],[1486, 491])).
% 3.04/3.23 tff(1488,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n0, n7)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1420, 91])).
% 3.04/3.23 tff(1489,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n7),
% 3.04/3.23 inference(transitivity,[status(thm)],[1488, 647])).
% 3.04/3.23 tff(1490,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n7)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1489])).
% 3.04/3.23 tff(1491,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n6),
% 3.04/3.23 inference(transitivity,[status(thm)],[1490, 134])).
% 3.04/3.23 tff(1492,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n6, n0)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1491, 1487])).
% 3.04/3.23 tff(1493,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6),
% 3.04/3.23 inference(transitivity,[status(thm)],[1492, 268])).
% 3.04/3.23 tff(1494,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[72, 1493])).
% 3.04/3.23 tff(1495,plain,((~(Y!0 = n6)) | (~(X!1 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1496,plain,
% 3.04/3.23 (~(Y!0 = n6)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1495, 1420])).
% 3.04/3.23 tff(1497,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n0, n7)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1420, 22])).
% 3.04/3.23 tff(1498,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n7),
% 3.04/3.23 inference(transitivity,[status(thm)],[1497, 647])).
% 3.04/3.23 tff(1499,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n7)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1498])).
% 3.04/3.23 tff(1500,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n6),
% 3.04/3.23 inference(transitivity,[status(thm)],[1499, 134])).
% 3.04/3.23 tff(1501,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n7, n6)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[22, 1500])).
% 3.04/3.23 tff(1502,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n2),
% 3.04/3.23 inference(transitivity,[status(thm)],[1501, 82])).
% 3.04/3.23 tff(1503,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n0, n8)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1420, 36])).
% 3.04/3.23 tff(1504,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = n8),
% 3.04/3.23 inference(transitivity,[status(thm)],[1503, 630])).
% 3.04/3.23 tff(1505,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = pred(n8)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1504])).
% 3.04/3.23 tff(1506,plain,
% 3.04/3.23 (pred(sum(X!1, succ(Y!0))) = n7),
% 3.04/3.23 inference(transitivity,[status(thm)],[1505, 166])).
% 3.04/3.23 tff(1507,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n7, n2)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1506, 1502])).
% 3.04/3.23 tff(1508,plain,
% 3.04/3.23 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9),
% 3.04/3.23 inference(transitivity,[status(thm)],[1507, 24])).
% 3.04/3.23 tff(1509,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[98, 1508])).
% 3.04/3.23 tff(1510,plain,((~(Y!0 = n7)) | (~(X!1 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(1511,plain,
% 3.04/3.23 (~(Y!0 = n7)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1510, 1420])).
% 3.04/3.23 tff(1512,plain,
% 3.04/3.23 (sum(X!1, Y!0) = sum(n0, n8)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1420, 55])).
% 3.04/3.23 tff(1513,plain,
% 3.04/3.23 (sum(X!1, Y!0) = n8),
% 3.04/3.23 inference(transitivity,[status(thm)],[1512, 630])).
% 3.04/3.23 tff(1514,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = pred(n8)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1513])).
% 3.04/3.23 tff(1515,plain,
% 3.04/3.23 (pred(sum(X!1, Y!0)) = n7),
% 3.04/3.23 inference(transitivity,[status(thm)],[1514, 166])).
% 3.04/3.23 tff(1516,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n8, n7)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[55, 1515])).
% 3.04/3.23 tff(1517,plain,
% 3.04/3.23 (sum(Y!0, pred(sum(X!1, Y!0))) = n4),
% 3.04/3.23 inference(transitivity,[status(thm)],[1516, 49])).
% 3.04/3.23 tff(1518,plain,
% 3.04/3.23 (sum(X!1, succ(Y!0)) = sum(n0, n9)),
% 3.04/3.23 inference(monotonicity,[status(thm)],[1420, 65])).
% 3.04/3.24 tff(1519,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n9),
% 3.04/3.24 inference(transitivity,[status(thm)],[1518, 663])).
% 3.04/3.24 tff(1520,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n9)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1519])).
% 3.04/3.24 tff(1521,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n8),
% 3.04/3.24 inference(transitivity,[status(thm)],[1520, 174])).
% 3.04/3.24 tff(1522,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n8, n4)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1521, 1517])).
% 3.04/3.24 tff(1523,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1),
% 3.04/3.24 inference(transitivity,[status(thm)],[1522, 52])).
% 3.04/3.24 tff(1524,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[43, 1523])).
% 3.04/3.24 tff(1525,plain,((~(Y!0 = n8)) | (~(X!1 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1526,plain,
% 3.04/3.24 (~(Y!0 = n8)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1525, 1420])).
% 3.04/3.24 tff(1527,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n0, n9)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1420, 165])).
% 3.04/3.24 tff(1528,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n9),
% 3.04/3.24 inference(transitivity,[status(thm)],[1527, 663])).
% 3.04/3.24 tff(1529,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n9)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1528])).
% 3.04/3.24 tff(1530,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n8),
% 3.04/3.24 inference(transitivity,[status(thm)],[1529, 174])).
% 3.04/3.24 tff(1531,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n9, n8)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[165, 1530])).
% 3.04/3.24 tff(1532,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n6),
% 3.04/3.24 inference(transitivity,[status(thm)],[1531, 127])).
% 3.04/3.24 tff(1533,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n0, n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1420, 178])).
% 3.04/3.24 tff(1534,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n10),
% 3.04/3.24 inference(transitivity,[status(thm)],[1533, 1436])).
% 3.04/3.24 tff(1535,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1534])).
% 3.04/3.24 tff(1536,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n9),
% 3.04/3.24 inference(transitivity,[status(thm)],[1535, 290])).
% 3.04/3.24 tff(1537,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n9, n6)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1536, 1532])).
% 3.04/3.24 tff(1538,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1537, 124])).
% 3.04/3.24 tff(1539,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[118, 1538])).
% 3.04/3.24 tff(1540,plain,((~(Y!0 = n9)) | (~(X!1 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1541,plain,
% 3.04/3.24 (~(Y!0 = n9)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1540, 1420])).
% 3.04/3.24 tff(1542,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n0, n4)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1420, 1033])).
% 3.04/3.24 tff(1543,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1542, 490])).
% 3.04/3.24 tff(1544,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n4)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1543])).
% 3.04/3.24 tff(1545,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n3),
% 3.04/3.24 inference(transitivity,[status(thm)],[1544, 16])).
% 3.04/3.24 tff(1546,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n4, n3)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1033, 1545])).
% 3.04/3.24 tff(1547,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n7),
% 3.04/3.24 inference(transitivity,[status(thm)],[1546, 600])).
% 3.04/3.24 tff(1548,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n0, n5)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1420, 1042])).
% 3.04/3.24 tff(1549,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n5),
% 3.04/3.24 inference(transitivity,[status(thm)],[1548, 418])).
% 3.04/3.24 tff(1550,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n5)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1549])).
% 3.04/3.24 tff(1551,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1550, 53])).
% 3.04/3.24 tff(1552,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n4, n7)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1551, 1547])).
% 3.04/3.24 tff(1553,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0),
% 3.04/3.24 inference(transitivity,[status(thm)],[1552, 533])).
% 3.04/3.24 tff(1554,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[398, 1553])).
% 3.04/3.24 tff(1555,plain,((~(Y!0 = n4)) | (~(X!1 = n0))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1556,plain,
% 3.04/3.24 (~(Y!0 = n4)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1555, 1420])).
% 3.04/3.24 tff(1557,plain,
% 3.04/3.24 (sum(n10, n8) = n7),
% 3.04/3.24 inference(and_elim,[status(thm)],[13])).
% 3.04/3.24 tff(1558,assumption,(Y!0 = n10), introduced(assumption)).
% 3.04/3.24 tff(1559,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n2, n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[925, 1558])).
% 3.04/3.24 tff(1560,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n1),
% 3.04/3.24 inference(transitivity,[status(thm)],[1559, 346])).
% 3.04/3.24 tff(1561,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n1)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1560])).
% 3.04/3.24 tff(1562,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n0),
% 3.04/3.24 inference(transitivity,[status(thm)],[1561, 269])).
% 3.04/3.24 tff(1563,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n10, n0)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1558, 1562])).
% 3.04/3.24 tff(1564,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n10),
% 3.04/3.24 inference(transitivity,[status(thm)],[1563, 288])).
% 3.04/3.24 tff(1565,plain,
% 3.04/3.24 (succ(n10) = n0),
% 3.04/3.24 inference(and_elim,[status(thm)],[13])).
% 3.04/3.24 tff(1566,plain,
% 3.04/3.24 (succ(Y!0) = succ(n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1558])).
% 3.04/3.24 tff(1567,plain,
% 3.04/3.24 (succ(Y!0) = n0),
% 3.04/3.24 inference(transitivity,[status(thm)],[1566, 1565])).
% 3.04/3.24 tff(1568,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n2, n0)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[925, 1567])).
% 3.04/3.24 tff(1569,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n2),
% 3.04/3.24 inference(transitivity,[status(thm)],[1568, 311])).
% 3.04/3.24 tff(1570,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n2)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1569])).
% 3.04/3.24 tff(1571,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n1),
% 3.04/3.24 inference(transitivity,[status(thm)],[1570, 81])).
% 3.04/3.24 tff(1572,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n1, n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1571, 1564])).
% 3.04/3.24 tff(1573,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0),
% 3.04/3.24 inference(transitivity,[status(thm)],[1572, 877])).
% 3.04/3.24 tff(1574,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[398, 1573])).
% 3.04/3.24 tff(1575,plain,((~(X!1 = n2)) | (~(Y!0 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1576,plain,
% 3.04/3.24 (~(X!1 = n2)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1575, 1558])).
% 3.04/3.24 tff(1577,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n3, n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[713, 1558])).
% 3.04/3.24 tff(1578,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n2),
% 3.04/3.24 inference(transitivity,[status(thm)],[1577, 250])).
% 3.04/3.24 tff(1579,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n2)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1578])).
% 3.04/3.24 tff(1580,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n1),
% 3.04/3.24 inference(transitivity,[status(thm)],[1579, 81])).
% 3.04/3.24 tff(1581,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n10, n1)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1558, 1580])).
% 3.04/3.24 tff(1582,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n0),
% 3.04/3.24 inference(transitivity,[status(thm)],[1581, 670])).
% 3.04/3.24 tff(1583,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n3, n0)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[713, 1567])).
% 3.04/3.24 tff(1584,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n3),
% 3.04/3.24 inference(transitivity,[status(thm)],[1583, 402])).
% 3.04/3.24 tff(1585,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n3)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1584])).
% 3.04/3.24 tff(1586,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n2),
% 3.04/3.24 inference(transitivity,[status(thm)],[1585, 25])).
% 3.04/3.24 tff(1587,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n2, n0)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1586, 1582])).
% 3.04/3.24 tff(1588,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2),
% 3.04/3.24 inference(transitivity,[status(thm)],[1587, 311])).
% 3.04/3.24 tff(1589,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[185, 1588])).
% 3.04/3.24 tff(1590,plain,((~(X!1 = n3)) | (~(Y!0 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1591,plain,
% 3.04/3.24 (~(X!1 = n3)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1590, 1558])).
% 3.04/3.24 tff(1592,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n4, n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[524, 1558])).
% 3.04/3.24 tff(1593,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n3),
% 3.04/3.24 inference(transitivity,[status(thm)],[1592, 47])).
% 3.04/3.24 tff(1594,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n3)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1593])).
% 3.04/3.24 tff(1595,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n2),
% 3.04/3.24 inference(transitivity,[status(thm)],[1594, 25])).
% 3.04/3.24 tff(1596,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n10, n2)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1558, 1595])).
% 3.04/3.24 tff(1597,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n1),
% 3.04/3.24 inference(transitivity,[status(thm)],[1596, 312])).
% 3.04/3.24 tff(1598,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n4, n0)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[524, 1567])).
% 3.04/3.24 tff(1599,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1598, 14])).
% 3.04/3.24 tff(1600,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n4)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1599])).
% 3.04/3.24 tff(1601,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n3),
% 3.04/3.24 inference(transitivity,[status(thm)],[1600, 16])).
% 3.04/3.24 tff(1602,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n3, n1)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1601, 1597])).
% 3.04/3.24 tff(1603,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1602, 811])).
% 3.04/3.24 tff(1604,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[118, 1603])).
% 3.04/3.24 tff(1605,plain,((~(X!1 = n4)) | (~(Y!0 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1606,plain,
% 3.04/3.24 (~(X!1 = n4)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1605, 1558])).
% 3.04/3.24 tff(1607,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n5, n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[364, 1558])).
% 3.04/3.24 tff(1608,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1607, 102])).
% 3.04/3.24 tff(1609,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n4)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1608])).
% 3.04/3.24 tff(1610,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n3),
% 3.04/3.24 inference(transitivity,[status(thm)],[1609, 16])).
% 3.04/3.24 tff(1611,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n10, n3)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1558, 1610])).
% 3.04/3.24 tff(1612,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n2),
% 3.04/3.24 inference(transitivity,[status(thm)],[1611, 319])).
% 3.04/3.24 tff(1613,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n5, n0)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[364, 1567])).
% 3.04/3.24 tff(1614,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n5),
% 3.04/3.24 inference(transitivity,[status(thm)],[1613, 146])).
% 3.04/3.24 tff(1615,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n5)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1614])).
% 3.04/3.24 tff(1616,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1615, 53])).
% 3.04/3.24 tff(1617,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n4, n2)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1616, 1612])).
% 3.04/3.24 tff(1618,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6),
% 3.04/3.24 inference(transitivity,[status(thm)],[1617, 593])).
% 3.04/3.24 tff(1619,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[72, 1618])).
% 3.04/3.24 tff(1620,plain,((~(X!1 = n5)) | (~(Y!0 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1621,plain,
% 3.04/3.24 (~(X!1 = n5)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1620, 1558])).
% 3.04/3.24 tff(1622,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n7, n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[27, 1558])).
% 3.04/3.24 tff(1623,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n6),
% 3.04/3.24 inference(transitivity,[status(thm)],[1622, 198])).
% 3.04/3.24 tff(1624,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n6)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1623])).
% 3.04/3.24 tff(1625,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n5),
% 3.04/3.24 inference(transitivity,[status(thm)],[1624, 20])).
% 3.04/3.24 tff(1626,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n10, n5)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1558, 1625])).
% 3.04/3.24 tff(1627,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1626, 474])).
% 3.04/3.24 tff(1628,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n7, n0)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[27, 1567])).
% 3.04/3.24 tff(1629,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n7),
% 3.04/3.24 inference(transitivity,[status(thm)],[1628, 366])).
% 3.04/3.24 tff(1630,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n7)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1629])).
% 3.04/3.24 tff(1631,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n6),
% 3.04/3.24 inference(transitivity,[status(thm)],[1630, 134])).
% 3.04/3.24 tff(1632,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n6, n4)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1631, 1627])).
% 3.04/3.24 tff(1633,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n10),
% 3.04/3.24 inference(transitivity,[status(thm)],[1632, 103])).
% 3.04/3.24 tff(1634,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[246, 1633])).
% 3.04/3.24 tff(1635,plain,((~(X!1 = n7)) | (~(Y!0 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1636,plain,
% 3.04/3.24 (~(X!1 = n7)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1635, 1558])).
% 3.04/3.24 tff(1637,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n9, n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[125, 1558])).
% 3.04/3.24 tff(1638,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n8),
% 3.04/3.24 inference(transitivity,[status(thm)],[1637, 286])).
% 3.04/3.24 tff(1639,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n8)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1638])).
% 3.04/3.24 tff(1640,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n7),
% 3.04/3.24 inference(transitivity,[status(thm)],[1639, 166])).
% 3.04/3.24 tff(1641,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n10, n7)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1558, 1640])).
% 3.04/3.24 tff(1642,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n6),
% 3.04/3.24 inference(transitivity,[status(thm)],[1641, 21])).
% 3.04/3.24 tff(1643,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n9, n0)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[125, 1567])).
% 3.04/3.24 tff(1644,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n9),
% 3.04/3.24 inference(transitivity,[status(thm)],[1643, 631])).
% 3.04/3.24 tff(1645,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n9)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1644])).
% 3.04/3.24 tff(1646,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n8),
% 3.04/3.24 inference(transitivity,[status(thm)],[1645, 174])).
% 3.04/3.24 tff(1647,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n8, n6)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1646, 1642])).
% 3.04/3.24 tff(1648,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3),
% 3.04/3.24 inference(transitivity,[status(thm)],[1647, 78])).
% 3.04/3.24 tff(1649,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[326, 1648])).
% 3.04/3.24 tff(1650,plain,((~(X!1 = n9)) | (~(Y!0 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1651,plain,
% 3.04/3.24 (~(X!1 = n9)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1650, 1558])).
% 3.04/3.24 tff(1652,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n8, n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[50, 1558])).
% 3.04/3.24 tff(1653,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n7),
% 3.04/3.24 inference(transitivity,[status(thm)],[1652, 216])).
% 3.04/3.24 tff(1654,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n7)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1653])).
% 3.04/3.24 tff(1655,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n6),
% 3.04/3.24 inference(transitivity,[status(thm)],[1654, 134])).
% 3.04/3.24 tff(1656,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n10, n6)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1558, 1655])).
% 3.04/3.24 tff(1657,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n5),
% 3.04/3.24 inference(transitivity,[status(thm)],[1656, 104])).
% 3.04/3.24 tff(1658,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n8, n0)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[50, 1567])).
% 3.04/3.24 tff(1659,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n8),
% 3.04/3.24 inference(transitivity,[status(thm)],[1658, 560])).
% 3.04/3.24 tff(1660,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n8)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1659])).
% 3.04/3.24 tff(1661,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n7),
% 3.04/3.24 inference(transitivity,[status(thm)],[1660, 166])).
% 3.04/3.24 tff(1662,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n7, n5)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1661, 1657])).
% 3.04/3.24 tff(1663,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n1),
% 3.04/3.24 inference(transitivity,[status(thm)],[1662, 19])).
% 3.04/3.24 tff(1664,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[43, 1663])).
% 3.04/3.24 tff(1665,plain,((~(X!1 = n8)) | (~(Y!0 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1666,plain,
% 3.04/3.24 (~(X!1 = n8)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1665, 1558])).
% 3.04/3.24 tff(1667,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n10, n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[105, 1558])).
% 3.04/3.24 tff(1668,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n9),
% 3.04/3.24 inference(transitivity,[status(thm)],[1667, 175])).
% 3.04/3.24 tff(1669,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n9)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1668])).
% 3.04/3.24 tff(1670,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n8),
% 3.04/3.24 inference(transitivity,[status(thm)],[1669, 174])).
% 3.04/3.24 tff(1671,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n10, n8)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1558, 1670])).
% 3.04/3.24 tff(1672,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n7),
% 3.04/3.24 inference(transitivity,[status(thm)],[1671, 1557])).
% 3.04/3.24 tff(1673,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n10, n0)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[105, 1567])).
% 3.04/3.24 tff(1674,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n10),
% 3.04/3.24 inference(transitivity,[status(thm)],[1673, 288])).
% 3.04/3.24 tff(1675,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1674])).
% 3.04/3.24 tff(1676,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n9),
% 3.04/3.24 inference(transitivity,[status(thm)],[1675, 290])).
% 3.04/3.24 tff(1677,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n9, n7)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1676, 1672])).
% 3.04/3.24 tff(1678,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5),
% 3.04/3.24 inference(transitivity,[status(thm)],[1677, 148])).
% 3.04/3.24 tff(1679,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[161, 1678])).
% 3.04/3.24 tff(1680,plain,((~(X!1 = n10)) | (~(Y!0 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1681,plain,
% 3.04/3.24 (~(X!1 = n10)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1680, 1558])).
% 3.04/3.24 tff(1682,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n6, n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[229, 1558])).
% 3.04/3.24 tff(1683,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n5),
% 3.04/3.24 inference(transitivity,[status(thm)],[1682, 419])).
% 3.04/3.24 tff(1684,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n5)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1683])).
% 3.04/3.24 tff(1685,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1684, 53])).
% 3.04/3.24 tff(1686,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n10, n4)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1558, 1685])).
% 3.04/3.24 tff(1687,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n3),
% 3.04/3.24 inference(transitivity,[status(thm)],[1686, 525])).
% 3.04/3.24 tff(1688,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n6, n0)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[229, 1567])).
% 3.04/3.24 tff(1689,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n6),
% 3.04/3.24 inference(transitivity,[status(thm)],[1688, 268])).
% 3.04/3.24 tff(1690,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n6)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1689])).
% 3.04/3.24 tff(1691,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n5),
% 3.04/3.24 inference(transitivity,[status(thm)],[1690, 20])).
% 3.04/3.24 tff(1692,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n5, n3)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1691, 1687])).
% 3.04/3.24 tff(1693,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8),
% 3.04/3.24 inference(transitivity,[status(thm)],[1692, 473])).
% 3.04/3.24 tff(1694,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[142, 1693])).
% 3.04/3.24 tff(1695,plain,((~(X!1 = n6)) | (~(Y!0 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1696,plain,
% 3.04/3.24 (~(X!1 = n6)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1695, 1558])).
% 3.04/3.24 tff(1697,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n1, n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1158, 1558])).
% 3.04/3.24 tff(1698,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n0),
% 3.04/3.24 inference(transitivity,[status(thm)],[1697, 877])).
% 3.04/3.24 tff(1699,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n0)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1698])).
% 3.04/3.24 tff(1700,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n10),
% 3.04/3.24 inference(transitivity,[status(thm)],[1699, 297])).
% 3.04/3.24 tff(1701,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n10, n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1558, 1700])).
% 3.04/3.24 tff(1702,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n9),
% 3.04/3.24 inference(transitivity,[status(thm)],[1701, 175])).
% 3.04/3.24 tff(1703,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n1, n0)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1158, 1567])).
% 3.04/3.24 tff(1704,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n1),
% 3.04/3.24 inference(transitivity,[status(thm)],[1703, 1159])).
% 3.04/3.24 tff(1705,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n1)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1704])).
% 3.04/3.24 tff(1706,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n0),
% 3.04/3.24 inference(transitivity,[status(thm)],[1705, 269])).
% 3.04/3.24 tff(1707,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n0, n9)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1706, 1702])).
% 3.04/3.24 tff(1708,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n9),
% 3.04/3.24 inference(transitivity,[status(thm)],[1707, 663])).
% 3.04/3.24 tff(1709,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[98, 1708])).
% 3.04/3.24 tff(1710,plain,((~(X!1 = n1)) | (~(Y!0 = n10))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1711,plain,
% 3.04/3.24 (~(X!1 = n1)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1710, 1558])).
% 3.04/3.24 tff(1712,plain,
% 3.04/3.24 ((X!1 = n6) | (X!1 = n10) | (X!1 = n8) | (X!1 = n9) | (X!1 = n7) | (X!1 = n5) | (X!1 = n4) | (X!1 = n3) | (X!1 = n2) | (X!1 = n1) | (X!1 = n0)),
% 3.04/3.24 inference(and_elim,[status(thm)],[13])).
% 3.04/3.24 tff(1713,plain,
% 3.04/3.24 (X!1 = n0),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1712, 1711, 1696, 1681, 1666, 1651, 1636, 1621, 1606, 1591, 1576])).
% 3.04/3.24 tff(1714,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n0, n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1713, 1558])).
% 3.04/3.24 tff(1715,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n10),
% 3.04/3.24 inference(transitivity,[status(thm)],[1714, 1436])).
% 3.04/3.24 tff(1716,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n10)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1715])).
% 3.04/3.24 tff(1717,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n9),
% 3.04/3.24 inference(transitivity,[status(thm)],[1716, 290])).
% 3.04/3.24 tff(1718,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n10, n9)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1558, 1717])).
% 3.04/3.24 tff(1719,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n8),
% 3.04/3.24 inference(transitivity,[status(thm)],[1718, 167])).
% 3.04/3.24 tff(1720,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n0, n0)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1713, 1567])).
% 3.04/3.24 tff(1721,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n0),
% 3.04/3.24 inference(transitivity,[status(thm)],[1720, 876])).
% 3.04/3.24 tff(1722,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n0)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1721])).
% 3.04/3.24 tff(1723,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n10),
% 3.04/3.24 inference(transitivity,[status(thm)],[1722, 297])).
% 3.04/3.24 tff(1724,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n10, n8)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1723, 1719])).
% 3.04/3.24 tff(1725,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7),
% 3.04/3.24 inference(transitivity,[status(thm)],[1724, 1557])).
% 3.04/3.24 tff(1726,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[205, 1725])).
% 3.04/3.24 tff(1727,plain,(~(Y!0 = n10)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1728,plain,
% 3.04/3.24 ((Y!0 = n10) | (Y!0 = n9) | (Y!0 = n8) | (Y!0 = n7) | (Y!0 = n6) | (Y!0 = n5) | (Y!0 = n4) | (Y!0 = n3) | (Y!0 = n2) | (Y!0 = n1) | (Y!0 = n0)),
% 3.04/3.24 inference(and_elim,[status(thm)],[13])).
% 3.04/3.24 tff(1729,plain,
% 3.04/3.24 ((Y!0 = n9) | (Y!0 = n8) | (Y!0 = n7) | (Y!0 = n6) | (Y!0 = n5) | (Y!0 = n4) | (Y!0 = n3) | (Y!0 = n2) | (Y!0 = n1) | (Y!0 = n0)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1728, 1727])).
% 3.04/3.24 tff(1730,plain,
% 3.04/3.24 (Y!0 = n3),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1729, 1556, 1541, 1526, 1511, 1496, 1481, 1466, 1451, 1435])).
% 3.04/3.24 tff(1731,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n0, n3)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1420, 1730])).
% 3.04/3.24 tff(1732,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n3),
% 3.04/3.24 inference(transitivity,[status(thm)],[1731, 610])).
% 3.04/3.24 tff(1733,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n3)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1732])).
% 3.04/3.24 tff(1734,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n2),
% 3.04/3.24 inference(transitivity,[status(thm)],[1733, 25])).
% 3.04/3.24 tff(1735,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n3, n2)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1730, 1734])).
% 3.04/3.24 tff(1736,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n5),
% 3.04/3.24 inference(transitivity,[status(thm)],[1735, 711])).
% 3.04/3.24 tff(1737,plain,
% 3.04/3.24 (succ(Y!0) = succ(n3)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1730])).
% 3.04/3.24 tff(1738,plain,
% 3.04/3.24 (succ(Y!0) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1737, 1288])).
% 3.04/3.24 tff(1739,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n0, n4)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1420, 1738])).
% 3.04/3.24 tff(1740,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1739, 490])).
% 3.04/3.24 tff(1741,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n4)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1740])).
% 3.04/3.24 tff(1742,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n3),
% 3.04/3.24 inference(transitivity,[status(thm)],[1741, 16])).
% 3.04/3.24 tff(1743,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n3, n5)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1742, 1736])).
% 3.04/3.24 tff(1744,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8),
% 3.04/3.24 inference(transitivity,[status(thm)],[1743, 793])).
% 3.04/3.24 tff(1745,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[142, 1744])).
% 3.04/3.24 tff(1746,plain,(~(X!1 = n0)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1747,plain,
% 3.04/3.24 ((X!1 = n6) | (X!1 = n10) | (X!1 = n8) | (X!1 = n9) | (X!1 = n7) | (X!1 = n5) | (X!1 = n4) | (X!1 = n3) | (X!1 = n2) | (X!1 = n1)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1712, 1746])).
% 3.04/3.24 tff(1748,plain,
% 3.04/3.24 (X!1 = n1),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1747, 1419, 1404, 1389, 1374, 1359, 1344, 1329, 1314, 1299])).
% 3.04/3.24 tff(1749,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n1, n3)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1748, 1281])).
% 3.04/3.24 tff(1750,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1749, 810])).
% 3.04/3.24 tff(1751,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n4)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1750])).
% 3.04/3.24 tff(1752,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n3),
% 3.04/3.24 inference(transitivity,[status(thm)],[1751, 16])).
% 3.04/3.24 tff(1753,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n3, n3)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1281, 1752])).
% 3.04/3.24 tff(1754,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n6),
% 3.04/3.24 inference(transitivity,[status(thm)],[1753, 721])).
% 3.04/3.24 tff(1755,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n1, n4)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1748, 1290])).
% 3.04/3.24 tff(1756,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n5),
% 3.04/3.24 inference(transitivity,[status(thm)],[1755, 908])).
% 3.04/3.24 tff(1757,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n5)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1756])).
% 3.04/3.24 tff(1758,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1757, 53])).
% 3.04/3.24 tff(1759,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n4, n6)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1758, 1754])).
% 3.04/3.24 tff(1760,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n10),
% 3.04/3.24 inference(transitivity,[status(thm)],[1759, 526])).
% 3.04/3.24 tff(1761,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[246, 1760])).
% 3.04/3.24 tff(1762,plain,(~(Y!0 = n3)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1763,plain,
% 3.04/3.24 ((Y!0 = n9) | (Y!0 = n8) | (Y!0 = n7) | (Y!0 = n6) | (Y!0 = n5) | (Y!0 = n4) | (Y!0 = n2) | (Y!0 = n1) | (Y!0 = n0)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1729, 1762])).
% 3.04/3.24 tff(1764,plain,
% 3.04/3.24 (Y!0 = n4),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1763, 1280, 1265, 1250, 1235, 1220, 1205, 1190, 1175])).
% 3.04/3.24 tff(1765,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n1, n4)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1158, 1764])).
% 3.04/3.24 tff(1766,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n5),
% 3.04/3.24 inference(transitivity,[status(thm)],[1765, 908])).
% 3.04/3.24 tff(1767,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n5)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1766])).
% 3.04/3.24 tff(1768,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1767, 53])).
% 3.04/3.24 tff(1769,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n4, n4)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1764, 1768])).
% 3.04/3.24 tff(1770,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n8),
% 3.04/3.24 inference(transitivity,[status(thm)],[1769, 809])).
% 3.04/3.24 tff(1771,plain,
% 3.04/3.24 (succ(Y!0) = succ(n4)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1764])).
% 3.04/3.24 tff(1772,plain,
% 3.04/3.24 (succ(Y!0) = n5),
% 3.04/3.24 inference(transitivity,[status(thm)],[1771, 1040])).
% 3.04/3.24 tff(1773,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n1, n5)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1158, 1772])).
% 3.04/3.24 tff(1774,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n6),
% 3.04/3.24 inference(transitivity,[status(thm)],[1773, 507])).
% 3.04/3.24 tff(1775,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n6)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1774])).
% 3.04/3.24 tff(1776,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n5),
% 3.04/3.24 inference(transitivity,[status(thm)],[1775, 20])).
% 3.04/3.24 tff(1777,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n5, n8)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1776, 1770])).
% 3.04/3.24 tff(1778,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2),
% 3.04/3.24 inference(transitivity,[status(thm)],[1777, 374])).
% 3.04/3.24 tff(1779,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[185, 1778])).
% 3.04/3.24 tff(1780,plain,(~(X!1 = n1)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1781,plain,
% 3.04/3.24 ((X!1 = n6) | (X!1 = n10) | (X!1 = n8) | (X!1 = n9) | (X!1 = n7) | (X!1 = n5) | (X!1 = n4) | (X!1 = n3) | (X!1 = n2)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1747, 1780])).
% 3.04/3.24 tff(1782,plain,
% 3.04/3.24 (X!1 = n2),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1781, 1157, 1141, 1126, 1111, 1096, 1081, 1066, 1051])).
% 3.04/3.24 tff(1783,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n2, n4)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1782, 1033])).
% 3.04/3.24 tff(1784,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n6),
% 3.04/3.24 inference(transitivity,[status(thm)],[1783, 714])).
% 3.04/3.24 tff(1785,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n6)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1784])).
% 3.04/3.24 tff(1786,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n5),
% 3.04/3.24 inference(transitivity,[status(thm)],[1785, 20])).
% 3.04/3.24 tff(1787,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n4, n5)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1033, 1786])).
% 3.04/3.24 tff(1788,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n9),
% 3.04/3.24 inference(transitivity,[status(thm)],[1787, 523])).
% 3.04/3.24 tff(1789,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n2, n5)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1782, 1042])).
% 3.04/3.24 tff(1790,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n7),
% 3.04/3.24 inference(transitivity,[status(thm)],[1789, 592])).
% 3.04/3.24 tff(1791,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n7)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1790])).
% 3.04/3.24 tff(1792,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = n6),
% 3.04/3.24 inference(transitivity,[status(thm)],[1791, 134])).
% 3.04/3.24 tff(1793,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n6, n9)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1792, 1788])).
% 3.04/3.24 tff(1794,plain,
% 3.04/3.24 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1793, 228])).
% 3.04/3.24 tff(1795,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[118, 1794])).
% 3.04/3.24 tff(1796,plain,(~(Y!0 = n4)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(1797,plain,
% 3.04/3.24 ((Y!0 = n9) | (Y!0 = n8) | (Y!0 = n7) | (Y!0 = n6) | (Y!0 = n5) | (Y!0 = n2) | (Y!0 = n1) | (Y!0 = n0)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1763, 1796])).
% 3.04/3.24 tff(1798,plain,
% 3.04/3.24 (Y!0 = n1),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1797, 1032, 1017, 1002, 987, 972, 957, 940])).
% 3.04/3.24 tff(1799,plain,
% 3.04/3.24 (sum(X!1, Y!0) = sum(n2, n1)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[925, 1798])).
% 3.04/3.24 tff(1800,plain,
% 3.04/3.24 (sum(X!1, Y!0) = n3),
% 3.04/3.24 inference(transitivity,[status(thm)],[1799, 924])).
% 3.04/3.24 tff(1801,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = pred(n3)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1800])).
% 3.04/3.24 tff(1802,plain,
% 3.04/3.24 (pred(sum(X!1, Y!0)) = n2),
% 3.04/3.24 inference(transitivity,[status(thm)],[1801, 25])).
% 3.04/3.24 tff(1803,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n1, n2)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1798, 1802])).
% 3.04/3.24 tff(1804,plain,
% 3.04/3.24 (sum(Y!0, pred(sum(X!1, Y!0))) = n3),
% 3.04/3.24 inference(transitivity,[status(thm)],[1803, 310])).
% 3.04/3.24 tff(1805,plain,
% 3.04/3.24 (succ(Y!0) = succ(n1)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[1798])).
% 3.04/3.24 tff(1806,plain,
% 3.04/3.24 (succ(Y!0) = n2),
% 3.04/3.24 inference(transitivity,[status(thm)],[1805, 819])).
% 3.04/3.24 tff(1807,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = sum(n2, n2)),
% 3.04/3.24 inference(monotonicity,[status(thm)],[925, 1806])).
% 3.04/3.24 tff(1808,plain,
% 3.04/3.24 (sum(X!1, succ(Y!0)) = n4),
% 3.04/3.24 inference(transitivity,[status(thm)],[1807, 942])).
% 3.04/3.24 tff(1809,plain,
% 3.04/3.24 (pred(sum(X!1, succ(Y!0))) = pred(n4)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1808])).
% 3.04/3.25 tff(1810,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = n3),
% 3.04/3.25 inference(transitivity,[status(thm)],[1809, 16])).
% 3.04/3.25 tff(1811,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n3, n3)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1810, 1804])).
% 3.04/3.25 tff(1812,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n6),
% 3.04/3.25 inference(transitivity,[status(thm)],[1811, 721])).
% 3.04/3.25 tff(1813,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[72, 1812])).
% 3.04/3.25 tff(1814,plain,(~(X!1 = n2)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(1815,plain,
% 3.04/3.25 ((X!1 = n6) | (X!1 = n10) | (X!1 = n8) | (X!1 = n9) | (X!1 = n7) | (X!1 = n5) | (X!1 = n4) | (X!1 = n3)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1781, 1814])).
% 3.04/3.25 tff(1816,plain,
% 3.04/3.25 (X!1 = n3),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1815, 923, 907, 892, 875, 860, 845, 830])).
% 3.04/3.25 tff(1817,plain,
% 3.04/3.25 (sum(X!1, Y!0) = sum(n3, n1)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1816, 812])).
% 3.04/3.25 tff(1818,plain,
% 3.04/3.25 (sum(X!1, Y!0) = n4),
% 3.04/3.25 inference(transitivity,[status(thm)],[1817, 811])).
% 3.04/3.25 tff(1819,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = pred(n4)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1818])).
% 3.04/3.25 tff(1820,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = n3),
% 3.04/3.25 inference(transitivity,[status(thm)],[1819, 16])).
% 3.04/3.25 tff(1821,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n1, n3)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[812, 1820])).
% 3.04/3.25 tff(1822,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = n4),
% 3.04/3.25 inference(transitivity,[status(thm)],[1821, 810])).
% 3.04/3.25 tff(1823,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = sum(n3, n2)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1816, 821])).
% 3.04/3.25 tff(1824,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = n5),
% 3.04/3.25 inference(transitivity,[status(thm)],[1823, 711])).
% 3.04/3.25 tff(1825,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = pred(n5)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1824])).
% 3.04/3.25 tff(1826,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = n4),
% 3.04/3.25 inference(transitivity,[status(thm)],[1825, 53])).
% 3.04/3.25 tff(1827,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n4, n4)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1826, 1822])).
% 3.04/3.25 tff(1828,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8),
% 3.04/3.25 inference(transitivity,[status(thm)],[1827, 809])).
% 3.04/3.25 tff(1829,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[142, 1828])).
% 3.04/3.25 tff(1830,plain,(~(Y!0 = n1)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(1831,plain,
% 3.04/3.25 ((Y!0 = n9) | (Y!0 = n8) | (Y!0 = n7) | (Y!0 = n6) | (Y!0 = n5) | (Y!0 = n2) | (Y!0 = n0)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1797, 1830])).
% 3.04/3.25 tff(1832,plain,
% 3.04/3.25 (Y!0 = n0),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1831, 808, 792, 776, 761, 746, 730])).
% 3.04/3.25 tff(1833,plain,
% 3.04/3.25 (sum(X!1, Y!0) = sum(n3, n0)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[713, 1832])).
% 3.04/3.25 tff(1834,plain,
% 3.04/3.25 (sum(X!1, Y!0) = n3),
% 3.04/3.25 inference(transitivity,[status(thm)],[1833, 402])).
% 3.04/3.25 tff(1835,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = pred(n3)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1834])).
% 3.04/3.25 tff(1836,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = n2),
% 3.04/3.25 inference(transitivity,[status(thm)],[1835, 25])).
% 3.04/3.25 tff(1837,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n0, n2)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1832, 1836])).
% 3.04/3.25 tff(1838,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = n2),
% 3.04/3.25 inference(transitivity,[status(thm)],[1837, 712])).
% 3.04/3.25 tff(1839,plain,
% 3.04/3.25 (succ(Y!0) = succ(n0)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1832])).
% 3.04/3.25 tff(1840,plain,
% 3.04/3.25 (succ(Y!0) = n1),
% 3.04/3.25 inference(transitivity,[status(thm)],[1839, 618])).
% 3.04/3.25 tff(1841,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = sum(n3, n1)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[713, 1840])).
% 3.04/3.25 tff(1842,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = n4),
% 3.04/3.25 inference(transitivity,[status(thm)],[1841, 811])).
% 3.04/3.25 tff(1843,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = pred(n4)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1842])).
% 3.04/3.25 tff(1844,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = n3),
% 3.04/3.25 inference(transitivity,[status(thm)],[1843, 16])).
% 3.04/3.25 tff(1845,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n3, n2)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1844, 1838])).
% 3.04/3.25 tff(1846,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5),
% 3.04/3.25 inference(transitivity,[status(thm)],[1845, 711])).
% 3.04/3.25 tff(1847,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[161, 1846])).
% 3.04/3.25 tff(1848,plain,(~(X!1 = n3)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(1849,plain,
% 3.04/3.25 ((X!1 = n6) | (X!1 = n10) | (X!1 = n8) | (X!1 = n9) | (X!1 = n7) | (X!1 = n5) | (X!1 = n4)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1815, 1848])).
% 3.04/3.25 tff(1850,plain,
% 3.04/3.25 (X!1 = n4),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1849, 710, 694, 679, 662, 646, 629])).
% 3.04/3.25 tff(1851,plain,
% 3.04/3.25 (sum(X!1, Y!0) = sum(n4, n0)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1850, 611])).
% 3.04/3.25 tff(1852,plain,
% 3.04/3.25 (sum(X!1, Y!0) = n4),
% 3.04/3.25 inference(transitivity,[status(thm)],[1851, 14])).
% 3.04/3.25 tff(1853,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = pred(n4)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1852])).
% 3.04/3.25 tff(1854,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = n3),
% 3.04/3.25 inference(transitivity,[status(thm)],[1853, 16])).
% 3.04/3.25 tff(1855,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n0, n3)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[611, 1854])).
% 3.04/3.25 tff(1856,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = n3),
% 3.04/3.25 inference(transitivity,[status(thm)],[1855, 610])).
% 3.04/3.25 tff(1857,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = sum(n4, n1)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1850, 620])).
% 3.04/3.25 tff(1858,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = n5),
% 3.04/3.25 inference(transitivity,[status(thm)],[1857, 226])).
% 3.04/3.25 tff(1859,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = pred(n5)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1858])).
% 3.04/3.25 tff(1860,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = n4),
% 3.04/3.25 inference(transitivity,[status(thm)],[1859, 53])).
% 3.04/3.25 tff(1861,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n4, n3)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1860, 1856])).
% 3.04/3.25 tff(1862,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7),
% 3.04/3.25 inference(transitivity,[status(thm)],[1861, 600])).
% 3.04/3.25 tff(1863,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[205, 1862])).
% 3.04/3.25 tff(1864,plain,(~(Y!0 = n0)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(1865,plain,
% 3.04/3.25 ((Y!0 = n9) | (Y!0 = n8) | (Y!0 = n7) | (Y!0 = n6) | (Y!0 = n5) | (Y!0 = n2)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1831, 1864])).
% 3.04/3.25 tff(1866,plain,
% 3.04/3.25 (Y!0 = n5),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1865, 609, 591, 575, 558, 542])).
% 3.04/3.25 tff(1867,plain,
% 3.04/3.25 (sum(X!1, Y!0) = sum(n4, n5)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[524, 1866])).
% 3.04/3.25 tff(1868,plain,
% 3.04/3.25 (sum(X!1, Y!0) = n9),
% 3.04/3.25 inference(transitivity,[status(thm)],[1867, 523])).
% 3.04/3.25 tff(1869,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = pred(n9)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1868])).
% 3.04/3.25 tff(1870,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = n8),
% 3.04/3.25 inference(transitivity,[status(thm)],[1869, 174])).
% 3.04/3.25 tff(1871,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n5, n8)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1866, 1870])).
% 3.04/3.25 tff(1872,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = n2),
% 3.04/3.25 inference(transitivity,[status(thm)],[1871, 374])).
% 3.04/3.25 tff(1873,plain,
% 3.04/3.25 (succ(Y!0) = succ(n5)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1866])).
% 3.04/3.25 tff(1874,plain,
% 3.04/3.25 (succ(Y!0) = n6),
% 3.04/3.25 inference(transitivity,[status(thm)],[1873, 445])).
% 3.04/3.25 tff(1875,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = sum(n4, n6)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[524, 1874])).
% 3.04/3.25 tff(1876,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = n10),
% 3.04/3.25 inference(transitivity,[status(thm)],[1875, 526])).
% 3.04/3.25 tff(1877,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = pred(n10)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1876])).
% 3.04/3.25 tff(1878,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = n9),
% 3.04/3.25 inference(transitivity,[status(thm)],[1877, 290])).
% 3.04/3.25 tff(1879,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n9, n2)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1878, 1872])).
% 3.04/3.25 tff(1880,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0),
% 3.04/3.25 inference(transitivity,[status(thm)],[1879, 347])).
% 3.04/3.25 tff(1881,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[398, 1880])).
% 3.04/3.25 tff(1882,plain,(~(X!1 = n4)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(1883,plain,
% 3.04/3.25 ((X!1 = n6) | (X!1 = n10) | (X!1 = n8) | (X!1 = n9) | (X!1 = n7) | (X!1 = n5)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1849, 1882])).
% 3.04/3.25 tff(1884,plain,
% 3.04/3.25 (X!1 = n5),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1883, 522, 506, 489, 471, 456])).
% 3.04/3.25 tff(1885,plain,
% 3.04/3.25 (sum(X!1, Y!0) = sum(n5, n5)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1884, 437])).
% 3.04/3.25 tff(1886,plain,
% 3.04/3.25 (sum(X!1, Y!0) = n10),
% 3.04/3.25 inference(transitivity,[status(thm)],[1885, 436])).
% 3.04/3.25 tff(1887,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = pred(n10)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1886])).
% 3.04/3.25 tff(1888,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = n9),
% 3.04/3.25 inference(transitivity,[status(thm)],[1887, 290])).
% 3.04/3.25 tff(1889,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n5, n9)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[437, 1888])).
% 3.04/3.25 tff(1890,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = n3),
% 3.04/3.25 inference(transitivity,[status(thm)],[1889, 391])).
% 3.04/3.25 tff(1891,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = sum(n5, n6)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1884, 447])).
% 3.04/3.25 tff(1892,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = n0),
% 3.04/3.25 inference(transitivity,[status(thm)],[1891, 420])).
% 3.04/3.25 tff(1893,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = pred(n0)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1892])).
% 3.04/3.25 tff(1894,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = n10),
% 3.04/3.25 inference(transitivity,[status(thm)],[1893, 297])).
% 3.04/3.25 tff(1895,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n10, n3)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1894, 1890])).
% 3.04/3.25 tff(1896,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2),
% 3.04/3.25 inference(transitivity,[status(thm)],[1895, 319])).
% 3.04/3.25 tff(1897,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[185, 1896])).
% 3.04/3.25 tff(1898,plain,(~(Y!0 = n5)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(1899,plain,
% 3.04/3.25 ((Y!0 = n9) | (Y!0 = n8) | (Y!0 = n7) | (Y!0 = n6) | (Y!0 = n2)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1865, 1898])).
% 3.04/3.25 tff(1900,plain,
% 3.04/3.25 (Y!0 = n2),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1899, 435, 417, 401, 383])).
% 3.04/3.25 tff(1901,plain,
% 3.04/3.25 (sum(X!1, Y!0) = sum(n5, n2)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[364, 1900])).
% 3.04/3.25 tff(1902,plain,
% 3.04/3.25 (sum(X!1, Y!0) = n7),
% 3.04/3.25 inference(transitivity,[status(thm)],[1901, 189])).
% 3.04/3.25 tff(1903,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = pred(n7)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1902])).
% 3.04/3.25 tff(1904,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = n6),
% 3.04/3.25 inference(transitivity,[status(thm)],[1903, 134])).
% 3.04/3.25 tff(1905,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n2, n6)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1900, 1904])).
% 3.04/3.25 tff(1906,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = n8),
% 3.04/3.25 inference(transitivity,[status(thm)],[1905, 363])).
% 3.04/3.25 tff(1907,plain,
% 3.04/3.25 (succ(Y!0) = succ(n2)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1900])).
% 3.04/3.25 tff(1908,plain,
% 3.04/3.25 (succ(Y!0) = n3),
% 3.04/3.25 inference(transitivity,[status(thm)],[1907, 298])).
% 3.04/3.25 tff(1909,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = sum(n5, n3)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[364, 1908])).
% 3.04/3.25 tff(1910,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = n8),
% 3.04/3.25 inference(transitivity,[status(thm)],[1909, 473])).
% 3.04/3.25 tff(1911,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = pred(n8)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1910])).
% 3.04/3.25 tff(1912,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = n7),
% 3.04/3.25 inference(transitivity,[status(thm)],[1911, 166])).
% 3.04/3.25 tff(1913,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n7, n8)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1912, 1906])).
% 3.04/3.25 tff(1914,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4),
% 3.04/3.25 inference(transitivity,[status(thm)],[1913, 17])).
% 3.04/3.25 tff(1915,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[118, 1914])).
% 3.04/3.25 tff(1916,plain,(~(X!1 = n5)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(1917,plain,
% 3.04/3.25 ((X!1 = n6) | (X!1 = n10) | (X!1 = n8) | (X!1 = n9) | (X!1 = n7)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1883, 1916])).
% 3.04/3.25 tff(1918,plain,
% 3.04/3.25 (X!1 = n7),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1917, 362, 344, 329, 309])).
% 3.04/3.25 tff(1919,plain,
% 3.04/3.25 (sum(X!1, Y!0) = sum(n7, n2)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1918, 287])).
% 3.04/3.25 tff(1920,plain,
% 3.04/3.25 (sum(X!1, Y!0) = n9),
% 3.04/3.25 inference(transitivity,[status(thm)],[1919, 24])).
% 3.04/3.25 tff(1921,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = pred(n9)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1920])).
% 3.04/3.25 tff(1922,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = n8),
% 3.04/3.25 inference(transitivity,[status(thm)],[1921, 174])).
% 3.04/3.25 tff(1923,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n2, n8)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[287, 1922])).
% 3.04/3.25 tff(1924,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = n10),
% 3.04/3.25 inference(transitivity,[status(thm)],[1923, 230])).
% 3.04/3.25 tff(1925,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = sum(n7, n3)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1918, 300])).
% 3.04/3.25 tff(1926,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = n10),
% 3.04/3.25 inference(transitivity,[status(thm)],[1925, 48])).
% 3.04/3.25 tff(1927,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = pred(n10)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1926])).
% 3.04/3.25 tff(1928,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = n9),
% 3.04/3.25 inference(transitivity,[status(thm)],[1927, 290])).
% 3.04/3.25 tff(1929,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n9, n10)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1928, 1924])).
% 3.04/3.25 tff(1930,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n8),
% 3.04/3.25 inference(transitivity,[status(thm)],[1929, 286])).
% 3.04/3.25 tff(1931,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[142, 1930])).
% 3.04/3.25 tff(1932,plain,(~(Y!0 = n2)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(1933,plain,
% 3.04/3.25 ((Y!0 = n9) | (Y!0 = n8) | (Y!0 = n7) | (Y!0 = n6)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1899, 1932])).
% 3.04/3.25 tff(1934,plain,
% 3.04/3.25 (Y!0 = n9),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1933, 285, 266, 249])).
% 3.04/3.25 tff(1935,plain,
% 3.04/3.25 (sum(X!1, Y!0) = sum(n6, n9)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[229, 1934])).
% 3.04/3.25 tff(1936,plain,
% 3.04/3.25 (sum(X!1, Y!0) = n4),
% 3.04/3.25 inference(transitivity,[status(thm)],[1935, 228])).
% 3.04/3.25 tff(1937,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = pred(n4)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1936])).
% 3.04/3.25 tff(1938,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = n3),
% 3.04/3.25 inference(transitivity,[status(thm)],[1937, 16])).
% 3.04/3.25 tff(1939,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n9, n3)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1934, 1938])).
% 3.04/3.25 tff(1940,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = n1),
% 3.04/3.25 inference(transitivity,[status(thm)],[1939, 227])).
% 3.04/3.25 tff(1941,plain,
% 3.04/3.25 (succ(Y!0) = succ(n9)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1934])).
% 3.04/3.25 tff(1942,plain,
% 3.04/3.25 (succ(Y!0) = n10),
% 3.04/3.25 inference(transitivity,[status(thm)],[1941, 176])).
% 3.04/3.25 tff(1943,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = sum(n6, n10)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[229, 1942])).
% 3.04/3.25 tff(1944,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = n5),
% 3.04/3.25 inference(transitivity,[status(thm)],[1943, 419])).
% 3.04/3.25 tff(1945,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = pred(n5)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1944])).
% 3.04/3.25 tff(1946,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = n4),
% 3.04/3.25 inference(transitivity,[status(thm)],[1945, 53])).
% 3.04/3.25 tff(1947,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n4, n1)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1946, 1940])).
% 3.04/3.25 tff(1948,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n5),
% 3.04/3.25 inference(transitivity,[status(thm)],[1947, 226])).
% 3.04/3.25 tff(1949,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[161, 1948])).
% 3.04/3.25 tff(1950,plain,(~(X!1 = n6)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(1951,plain,
% 3.04/3.25 ((X!1 = n10) | (X!1 = n8) | (X!1 = n9) | (X!1 = n7)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1917, 1950])).
% 3.04/3.25 tff(1952,plain,
% 3.04/3.25 (X!1 = n9),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1951, 225, 208, 188])).
% 3.04/3.25 tff(1953,plain,
% 3.04/3.25 (sum(X!1, Y!0) = sum(n9, n9)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1952, 165])).
% 3.04/3.25 tff(1954,plain,
% 3.04/3.25 (sum(X!1, Y!0) = n7),
% 3.04/3.25 inference(transitivity,[status(thm)],[1953, 135])).
% 3.04/3.25 tff(1955,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = pred(n7)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1954])).
% 3.04/3.25 tff(1956,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = n6),
% 3.04/3.25 inference(transitivity,[status(thm)],[1955, 134])).
% 3.04/3.25 tff(1957,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n9, n6)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[165, 1956])).
% 3.04/3.25 tff(1958,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = n4),
% 3.04/3.25 inference(transitivity,[status(thm)],[1957, 124])).
% 3.04/3.25 tff(1959,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = sum(n9, n10)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1952, 178])).
% 3.04/3.25 tff(1960,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = n8),
% 3.04/3.25 inference(transitivity,[status(thm)],[1959, 286])).
% 3.04/3.25 tff(1961,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = pred(n8)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1960])).
% 3.04/3.25 tff(1962,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = n7),
% 3.04/3.25 inference(transitivity,[status(thm)],[1961, 166])).
% 3.04/3.25 tff(1963,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n7, n4)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1962, 1958])).
% 3.04/3.25 tff(1964,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0),
% 3.04/3.25 inference(transitivity,[status(thm)],[1963, 147])).
% 3.04/3.25 tff(1965,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[398, 1964])).
% 3.04/3.25 tff(1966,plain,(~(Y!0 = n9)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(1967,plain,
% 3.04/3.25 ((Y!0 = n8) | (Y!0 = n7) | (Y!0 = n6)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1933, 1966])).
% 3.04/3.25 tff(1968,plain,
% 3.04/3.25 (Y!0 = n6),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1967, 164, 145])).
% 3.04/3.25 tff(1969,plain,
% 3.04/3.25 (sum(X!1, Y!0) = sum(n9, n6)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[125, 1968])).
% 3.04/3.25 tff(1970,plain,
% 3.04/3.25 (sum(X!1, Y!0) = n4),
% 3.04/3.25 inference(transitivity,[status(thm)],[1969, 124])).
% 3.04/3.25 tff(1971,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = pred(n4)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1970])).
% 3.04/3.25 tff(1972,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = n3),
% 3.04/3.25 inference(transitivity,[status(thm)],[1971, 16])).
% 3.04/3.25 tff(1973,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n6, n3)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1968, 1972])).
% 3.04/3.25 tff(1974,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = n9),
% 3.04/3.25 inference(transitivity,[status(thm)],[1973, 123])).
% 3.04/3.25 tff(1975,plain,
% 3.04/3.25 (succ(Y!0) = succ(n6)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1968])).
% 3.04/3.25 tff(1976,plain,
% 3.04/3.25 (succ(Y!0) = n7),
% 3.04/3.25 inference(transitivity,[status(thm)],[1975, 89])).
% 3.04/3.25 tff(1977,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = sum(n9, n7)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[125, 1976])).
% 3.04/3.25 tff(1978,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = n5),
% 3.04/3.25 inference(transitivity,[status(thm)],[1977, 148])).
% 3.04/3.25 tff(1979,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = pred(n5)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1978])).
% 3.04/3.25 tff(1980,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = n4),
% 3.04/3.25 inference(transitivity,[status(thm)],[1979, 53])).
% 3.04/3.25 tff(1981,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n4, n9)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1980, 1974])).
% 3.04/3.25 tff(1982,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n2),
% 3.04/3.25 inference(transitivity,[status(thm)],[1981, 122])).
% 3.04/3.25 tff(1983,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[185, 1982])).
% 3.04/3.25 tff(1984,plain,(~(X!1 = n9)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(1985,plain,
% 3.04/3.25 ((X!1 = n10) | (X!1 = n8) | (X!1 = n7)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1951, 1984])).
% 3.04/3.25 tff(1986,plain,
% 3.04/3.25 (X!1 = n8),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1985, 121, 101])).
% 3.04/3.25 tff(1987,plain,
% 3.04/3.25 (sum(X!1, Y!0) = sum(n8, n6)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1986, 79])).
% 3.04/3.25 tff(1988,plain,
% 3.04/3.25 (sum(X!1, Y!0) = n3),
% 3.04/3.25 inference(transitivity,[status(thm)],[1987, 78])).
% 3.04/3.25 tff(1989,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = pred(n3)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1988])).
% 3.04/3.25 tff(1990,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = n2),
% 3.04/3.25 inference(transitivity,[status(thm)],[1989, 25])).
% 3.04/3.25 tff(1991,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n6, n2)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[79, 1990])).
% 3.04/3.25 tff(1992,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = n8),
% 3.04/3.25 inference(transitivity,[status(thm)],[1991, 77])).
% 3.04/3.25 tff(1993,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = sum(n8, n7)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1986, 91])).
% 3.04/3.25 tff(1994,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = n4),
% 3.04/3.25 inference(transitivity,[status(thm)],[1993, 49])).
% 3.04/3.25 tff(1995,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = pred(n4)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1994])).
% 3.04/3.25 tff(1996,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = n3),
% 3.04/3.25 inference(transitivity,[status(thm)],[1995, 16])).
% 3.04/3.25 tff(1997,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n3, n8)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[1996, 1992])).
% 3.04/3.25 tff(1998,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n0),
% 3.04/3.25 inference(transitivity,[status(thm)],[1997, 76])).
% 3.04/3.25 tff(1999,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[398, 1998])).
% 3.04/3.25 tff(2000,plain,(~(Y!0 = n6)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(2001,plain,
% 3.04/3.25 ((Y!0 = n8) | (Y!0 = n7)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1967, 2000])).
% 3.04/3.25 tff(2002,plain,
% 3.04/3.25 (Y!0 = n7),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[2001, 75])).
% 3.04/3.25 tff(2003,plain,
% 3.04/3.25 (sum(X!1, Y!0) = sum(n8, n7)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[50, 2002])).
% 3.04/3.25 tff(2004,plain,
% 3.04/3.25 (sum(X!1, Y!0) = n4),
% 3.04/3.25 inference(transitivity,[status(thm)],[2003, 49])).
% 3.04/3.25 tff(2005,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = pred(n4)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[2004])).
% 3.04/3.25 tff(2006,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = n3),
% 3.04/3.25 inference(transitivity,[status(thm)],[2005, 16])).
% 3.04/3.25 tff(2007,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n7, n3)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[2002, 2006])).
% 3.04/3.25 tff(2008,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = n10),
% 3.04/3.25 inference(transitivity,[status(thm)],[2007, 48])).
% 3.04/3.25 tff(2009,plain,
% 3.04/3.25 (succ(Y!0) = succ(n7)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[2002])).
% 3.04/3.25 tff(2010,plain,
% 3.04/3.25 (succ(Y!0) = n8),
% 3.04/3.25 inference(transitivity,[status(thm)],[2009, 34])).
% 3.04/3.25 tff(2011,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = sum(n8, n8)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[50, 2010])).
% 3.04/3.25 tff(2012,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = n5),
% 3.04/3.25 inference(transitivity,[status(thm)],[2011, 54])).
% 3.04/3.25 tff(2013,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = pred(n5)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[2012])).
% 3.04/3.25 tff(2014,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = n4),
% 3.04/3.25 inference(transitivity,[status(thm)],[2013, 53])).
% 3.04/3.25 tff(2015,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n4, n10)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[2014, 2008])).
% 3.04/3.25 tff(2016,plain,
% 3.04/3.25 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n3),
% 3.04/3.25 inference(transitivity,[status(thm)],[2015, 47])).
% 3.04/3.25 tff(2017,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[326, 2016])).
% 3.04/3.25 tff(2018,plain,(~(X!1 = n8)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(2019,plain,
% 3.04/3.25 ((X!1 = n10) | (X!1 = n7)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1985, 2018])).
% 3.04/3.25 tff(2020,plain,
% 3.04/3.25 (X!1 = n10),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[2019, 46])).
% 3.04/3.25 tff(2021,plain,
% 3.04/3.25 (sum(X!1, Y!0) = sum(n10, n7)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[2020, 22])).
% 3.04/3.25 tff(2022,plain,
% 3.04/3.25 (sum(X!1, Y!0) = n6),
% 3.04/3.25 inference(transitivity,[status(thm)],[2021, 21])).
% 3.04/3.25 tff(2023,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = pred(n6)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[2022])).
% 3.04/3.25 tff(2024,plain,
% 3.04/3.25 (pred(sum(X!1, Y!0)) = n5),
% 3.04/3.25 inference(transitivity,[status(thm)],[2023, 20])).
% 3.04/3.25 tff(2025,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n7, n5)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[22, 2024])).
% 3.04/3.25 tff(2026,plain,
% 3.04/3.25 (sum(Y!0, pred(sum(X!1, Y!0))) = n1),
% 3.04/3.25 inference(transitivity,[status(thm)],[2025, 19])).
% 3.04/3.25 tff(2027,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = sum(n10, n8)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[2020, 36])).
% 3.04/3.25 tff(2028,plain,
% 3.04/3.25 (sum(X!1, succ(Y!0)) = n7),
% 3.04/3.25 inference(transitivity,[status(thm)],[2027, 1557])).
% 3.04/3.25 tff(2029,plain,
% 3.04/3.25 (pred(sum(X!1, succ(Y!0))) = pred(n7)),
% 3.04/3.25 inference(monotonicity,[status(thm)],[2028])).
% 3.04/3.25 tff(2030,plain,
% 3.04/3.26 (pred(sum(X!1, succ(Y!0))) = n6),
% 3.04/3.26 inference(transitivity,[status(thm)],[2029, 134])).
% 3.04/3.26 tff(2031,plain,
% 3.04/3.26 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n6, n1)),
% 3.04/3.26 inference(monotonicity,[status(thm)],[2030, 2026])).
% 3.04/3.26 tff(2032,plain,
% 3.04/3.26 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n7),
% 3.04/3.26 inference(transitivity,[status(thm)],[2031, 18])).
% 3.04/3.26 tff(2033,plain,
% 3.04/3.26 ($false),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[205, 2032])).
% 3.04/3.26 tff(2034,plain,(~(Y!0 = n7)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.26 tff(2035,plain,
% 3.04/3.26 (Y!0 = n8),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[2001, 2034])).
% 3.04/3.26 tff(2036,plain,
% 3.04/3.26 (sum(X!1, Y!0) = sum(n10, n8)),
% 3.04/3.26 inference(monotonicity,[status(thm)],[105, 2035])).
% 3.04/3.26 tff(2037,plain,
% 3.04/3.26 (sum(X!1, Y!0) = n7),
% 3.04/3.26 inference(transitivity,[status(thm)],[2036, 1557])).
% 3.04/3.26 tff(2038,plain,
% 3.04/3.26 (pred(sum(X!1, Y!0)) = pred(n7)),
% 3.04/3.26 inference(monotonicity,[status(thm)],[2037])).
% 3.04/3.26 tff(2039,plain,
% 3.04/3.26 (pred(sum(X!1, Y!0)) = n6),
% 3.04/3.26 inference(transitivity,[status(thm)],[2038, 134])).
% 3.04/3.26 tff(2040,plain,
% 3.04/3.26 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n8, n6)),
% 3.04/3.26 inference(monotonicity,[status(thm)],[2035, 2039])).
% 3.04/3.26 tff(2041,plain,
% 3.04/3.26 (sum(Y!0, pred(sum(X!1, Y!0))) = n3),
% 3.04/3.26 inference(transitivity,[status(thm)],[2040, 78])).
% 3.04/3.26 tff(2042,plain,
% 3.04/3.26 (succ(Y!0) = succ(n8)),
% 3.04/3.26 inference(monotonicity,[status(thm)],[2035])).
% 3.04/3.26 tff(2043,plain,
% 3.04/3.26 (succ(Y!0) = n9),
% 3.04/3.26 inference(transitivity,[status(thm)],[2042, 63])).
% 3.04/3.26 tff(2044,plain,
% 3.04/3.26 (sum(X!1, succ(Y!0)) = sum(n10, n9)),
% 3.04/3.26 inference(monotonicity,[status(thm)],[105, 2043])).
% 3.04/3.26 tff(2045,plain,
% 3.04/3.26 (sum(X!1, succ(Y!0)) = n8),
% 3.04/3.26 inference(transitivity,[status(thm)],[2044, 167])).
% 3.04/3.26 tff(2046,plain,
% 3.04/3.26 (pred(sum(X!1, succ(Y!0))) = pred(n8)),
% 3.04/3.26 inference(monotonicity,[status(thm)],[2045])).
% 3.04/3.26 tff(2047,plain,
% 3.04/3.26 (pred(sum(X!1, succ(Y!0))) = n7),
% 3.04/3.26 inference(transitivity,[status(thm)],[2046, 166])).
% 3.04/3.26 tff(2048,plain,
% 3.04/3.26 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n7, n3)),
% 3.04/3.26 inference(monotonicity,[status(thm)],[2047, 2041])).
% 3.04/3.26 tff(2049,plain,
% 3.04/3.26 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n10),
% 3.04/3.26 inference(transitivity,[status(thm)],[2048, 48])).
% 3.04/3.26 tff(2050,plain,
% 3.04/3.26 ($false),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[246, 2049])).
% 3.04/3.26 tff(2051,plain,(~(X!1 = n10)), inference(lemma,lemma(discharge,[]))).
% 3.04/3.26 tff(2052,plain,
% 3.04/3.26 (X!1 = n7),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[2019, 2051])).
% 3.04/3.26 tff(2053,plain,
% 3.04/3.26 (sum(X!1, Y!0) = sum(n7, n8)),
% 3.04/3.26 inference(monotonicity,[status(thm)],[2052, 2035])).
% 3.04/3.26 tff(2054,plain,
% 3.04/3.26 (sum(X!1, Y!0) = n4),
% 3.04/3.26 inference(transitivity,[status(thm)],[2053, 17])).
% 3.04/3.26 tff(2055,plain,
% 3.04/3.26 (pred(sum(X!1, Y!0)) = pred(n4)),
% 3.04/3.26 inference(monotonicity,[status(thm)],[2054])).
% 3.04/3.26 tff(2056,plain,
% 3.04/3.26 (pred(sum(X!1, Y!0)) = n3),
% 3.04/3.26 inference(transitivity,[status(thm)],[2055, 16])).
% 3.04/3.26 tff(2057,plain,
% 3.04/3.26 (sum(Y!0, pred(sum(X!1, Y!0))) = sum(n8, n3)),
% 3.04/3.26 inference(monotonicity,[status(thm)],[2035, 2056])).
% 3.04/3.26 tff(2058,plain,
% 3.04/3.26 (sum(Y!0, pred(sum(X!1, Y!0))) = n0),
% 3.04/3.26 inference(transitivity,[status(thm)],[2057, 15])).
% 3.04/3.26 tff(2059,plain,
% 3.04/3.26 (sum(X!1, succ(Y!0)) = sum(n7, n9)),
% 3.04/3.26 inference(monotonicity,[status(thm)],[2052, 2043])).
% 3.04/3.26 tff(2060,plain,
% 3.04/3.26 (sum(X!1, succ(Y!0)) = n5),
% 3.04/3.26 inference(transitivity,[status(thm)],[2059, 191])).
% 3.04/3.26 tff(2061,plain,
% 3.04/3.26 (pred(sum(X!1, succ(Y!0))) = pred(n5)),
% 3.04/3.26 inference(monotonicity,[status(thm)],[2060])).
% 3.04/3.26 tff(2062,plain,
% 3.04/3.26 (pred(sum(X!1, succ(Y!0))) = n4),
% 3.04/3.26 inference(transitivity,[status(thm)],[2061, 53])).
% 3.04/3.26 tff(2063,plain,
% 3.04/3.26 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = sum(n4, n0)),
% 3.04/3.26 inference(monotonicity,[status(thm)],[2062, 2058])).
% 3.04/3.26 tff(2064,plain,
% 3.04/3.26 (sum(pred(sum(X!1, succ(Y!0))), sum(Y!0, pred(sum(X!1, Y!0)))) = n4),
% 3.04/3.26 inference(transitivity,[status(thm)],[2063, 14])).
% 3.04/3.26 tff(2065,plain,
% 3.04/3.26 ($false),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[118, 2064])).
% 3.04/3.26 % SZS output end Proof
% 3.04/3.26 % E exiting
%------------------------------------------------------------------------------